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Finding the Fourth Proportional to 34,652, 51,981.24 and 11,272.16

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Solution

The fourth proportional to 34,652, 51,981.24 and 11,272.16 is: 16,909.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,652 : 51,981.24 = 11,272.16 : x
  2. Step 2: Convert to fraction form
    34,652/51,981.24 = 11,272.16/x
  3. Step 3: Cross multiply
    34,652x = 51,981.24 × 11,272.16
  4. Step 4: Simplify right side
    34,652x = 585,940,854.28
  5. Step 5: Solve for x
    x = 585,940,854.28/34,652
  6. Step 6: Final answer
    x = 16,909.29

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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.