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Finding the Fourth Proportional to 31,894,920.15, 47,842,380.23 and 31,894,920.15

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Solution

The fourth proportional to 31,894,920.15, 47,842,380.23 and 31,894,920.15 is: 47,842,380.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,894,920.15 : 47,842,380.23 = 31,894,920.15 : x
  2. Step 2: Convert to fraction form
    31,894,920.15/47,842,380.23 = 31,894,920.15/x
  3. Step 3: Cross multiply
    31,894,920.15x = 47,842,380.23 × 31,894,920.15
  4. Step 4: Simplify right side
    31,894,920.15x = 1,525,928,897,062,314
  5. Step 5: Solve for x
    x = 1,525,928,897,062,314/31,894,920.15
  6. Step 6: Final answer
    x = 47,842,380.23

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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.