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Finding the Fourth Proportional to 31,564.60, 47,354.18 and 9,377.48

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Solution

The fourth proportional to 31,564.60, 47,354.18 and 9,377.48 is: 14,068.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,564.60 : 47,354.18 = 9,377.48 : x
  2. Step 2: Convert to fraction form
    31,564.60/47,354.18 = 9,377.48/x
  3. Step 3: Cross multiply
    31,564.60x = 47,354.18 × 9,377.48
  4. Step 4: Simplify right side
    31,564.60x = 444,062,875.87
  5. Step 5: Solve for x
    x = 444,062,875.87/31,564.60
  6. Step 6: Final answer
    x = 14,068.38

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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.