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Finding the Fourth Proportional to 31,894,907.10, 47,842,360.65 and 31,894,907.10

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Solution

The fourth proportional to 31,894,907.10, 47,842,360.65 and 31,894,907.10 is: 47,842,360.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,894,907.10 : 47,842,360.65 = 31,894,907.10 : x
  2. Step 2: Convert to fraction form
    31,894,907.10/47,842,360.65 = 31,894,907.10/x
  3. Step 3: Cross multiply
    31,894,907.10x = 47,842,360.65 × 31,894,907.10
  4. Step 4: Simplify right side
    31,894,907.10x = 1,525,927,648,376,445.75
  5. Step 5: Solve for x
    x = 1,525,927,648,376,445.75/31,894,907.10
  6. Step 6: Final answer
    x = 47,842,360.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.