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Finding the Fourth Proportional to 31,543.54, 47,315.48 and 9,357.10

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Solution

The fourth proportional to 31,543.54, 47,315.48 and 9,357.10 is: 14,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,543.54 : 47,315.48 = 9,357.10 : x
  2. Step 2: Convert to fraction form
    31,543.54/47,315.48 = 9,357.10/x
  3. Step 3: Cross multiply
    31,543.54x = 47,315.48 × 9,357.10
  4. Step 4: Simplify right side
    31,543.54x = 442,735,677.91
  5. Step 5: Solve for x
    x = 442,735,677.91/31,543.54
  6. Step 6: Final answer
    x = 14,035.70

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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.