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Finding the Fourth Proportional to 38,602.70, 57,909.45 and 16,415.90

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Solution

The fourth proportional to 38,602.70, 57,909.45 and 16,415.90 is: 24,626.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,602.70 : 57,909.45 = 16,415.90 : x
  2. Step 2: Convert to fraction form
    38,602.70/57,909.45 = 16,415.90/x
  3. Step 3: Cross multiply
    38,602.70x = 57,909.45 × 16,415.90
  4. Step 4: Simplify right side
    38,602.70x = 950,635,740.26
  5. Step 5: Solve for x
    x = 950,635,740.26/38,602.70
  6. Step 6: Final answer
    x = 24,626.15

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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.