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Finding the Fourth Proportional to 38,534.24, 57,792 and 16,348.16

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Solution

The fourth proportional to 38,534.24, 57,792 and 16,348.16 is: 24,518.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,534.24 : 57,792 = 16,348.16 : x
  2. Step 2: Convert to fraction form
    38,534.24/57,792 = 16,348.16/x
  3. Step 3: Cross multiply
    38,534.24x = 57,792 × 16,348.16
  4. Step 4: Simplify right side
    38,534.24x = 944,792,862.72
  5. Step 5: Solve for x
    x = 944,792,862.72/38,534.24
  6. Step 6: Final answer
    x = 24,518.27

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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.