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Finding the Fourth Proportional to 31,543.31, 47,319.68 and 9,354.07

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Solution

The fourth proportional to 31,543.31, 47,319.68 and 9,354.07 is: 14,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,543.31 : 47,319.68 = 9,354.07 : x
  2. Step 2: Convert to fraction form
    31,543.31/47,319.68 = 9,354.07/x
  3. Step 3: Cross multiply
    31,543.31x = 47,319.68 × 9,354.07
  4. Step 4: Simplify right side
    31,543.31x = 442,631,599.10
  5. Step 5: Solve for x
    x = 442,631,599.10/31,543.31
  6. Step 6: Final answer
    x = 14,032.50

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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.