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Finding the Fourth Proportional to 31,402.53, 47,104.74 and 9,215.91

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Solution

The fourth proportional to 31,402.53, 47,104.74 and 9,215.91 is: 13,824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,402.53 : 47,104.74 = 9,215.91 : x
  2. Step 2: Convert to fraction form
    31,402.53/47,104.74 = 9,215.91/x
  3. Step 3: Cross multiply
    31,402.53x = 47,104.74 × 9,215.91
  4. Step 4: Simplify right side
    31,402.53x = 434,113,044.41
  5. Step 5: Solve for x
    x = 434,113,044.41/31,402.53
  6. Step 6: Final answer
    x = 13,824.14

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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.