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Finding the Fourth Proportional to 38,602.57, 57,864.52 and 16,401.79

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Solution

The fourth proportional to 38,602.57, 57,864.52 and 16,401.79 is: 24,585.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,602.57 : 57,864.52 = 16,401.79 : x
  2. Step 2: Convert to fraction form
    38,602.57/57,864.52 = 16,401.79/x
  3. Step 3: Cross multiply
    38,602.57x = 57,864.52 × 16,401.79
  4. Step 4: Simplify right side
    38,602.57x = 949,081,334.16
  5. Step 5: Solve for x
    x = 949,081,334.16/38,602.57
  6. Step 6: Final answer
    x = 24,585.96

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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.