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Finding the Fourth Proportional to 31,535.16, 47,308.58 and 9,044.90

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Solution

The fourth proportional to 31,535.16, 47,308.58 and 9,044.90 is: 13,569.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,535.16 : 47,308.58 = 9,044.90 : x
  2. Step 2: Convert to fraction form
    31,535.16/47,308.58 = 9,044.90/x
  3. Step 3: Cross multiply
    31,535.16x = 47,308.58 × 9,044.90
  4. Step 4: Simplify right side
    31,535.16x = 427,901,093.47
  5. Step 5: Solve for x
    x = 427,901,093.47/31,535.16
  6. Step 6: Final answer
    x = 13,569.02

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