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Finding the Fourth Proportional to 31,484, 47,229.24 and 9,302.96

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Solution

The fourth proportional to 31,484, 47,229.24 and 9,302.96 is: 13,955.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,484 : 47,229.24 = 9,302.96 : x
  2. Step 2: Convert to fraction form
    31,484/47,229.24 = 9,302.96/x
  3. Step 3: Cross multiply
    31,484x = 47,229.24 × 9,302.96
  4. Step 4: Simplify right side
    31,484x = 439,371,730.55
  5. Step 5: Solve for x
    x = 439,371,730.55/31,484
  6. Step 6: Final answer
    x = 13,955.40

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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.