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Finding the Fourth Proportional to 38,728.80, 58,114.80 and 16,538.40

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Solution

The fourth proportional to 38,728.80, 58,114.80 and 16,538.40 is: 24,816.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,728.80 : 58,114.80 = 16,538.40 : x
  2. Step 2: Convert to fraction form
    38,728.80/58,114.80 = 16,538.40/x
  3. Step 3: Cross multiply
    38,728.80x = 58,114.80 × 16,538.40
  4. Step 4: Simplify right side
    38,728.80x = 961,125,808.32
  5. Step 5: Solve for x
    x = 961,125,808.32/38,728.80
  6. Step 6: Final answer
    x = 24,816.82

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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.