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Finding the Fourth Proportional to 38,191,978.31, 57,287,406.53 and 9,438,113.12

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Solution

The fourth proportional to 38,191,978.31, 57,287,406.53 and 9,438,113.12 is: 14,157,031.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,191,978.31 : 57,287,406.53 = 9,438,113.12 : x
  2. Step 2: Convert to fraction form
    38,191,978.31/57,287,406.53 = 9,438,113.12/x
  3. Step 3: Cross multiply
    38,191,978.31x = 57,287,406.53 × 9,438,113.12
  4. Step 4: Simplify right side
    38,191,978.31x = 540,685,022,918,724.94
  5. Step 5: Solve for x
    x = 540,685,022,918,724.94/38,191,978.31
  6. Step 6: Final answer
    x = 14,157,031.06

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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.