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Finding the Fourth Proportional to 38,665.60, 57,998.42 and 10,585.89

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Solution

The fourth proportional to 38,665.60, 57,998.42 and 10,585.89 is: 15,878.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,665.60 : 57,998.42 = 10,585.89 : x
  2. Step 2: Convert to fraction form
    38,665.60/57,998.42 = 10,585.89/x
  3. Step 3: Cross multiply
    38,665.60x = 57,998.42 × 10,585.89
  4. Step 4: Simplify right side
    38,665.60x = 613,964,894.29
  5. Step 5: Solve for x
    x = 613,964,894.29/38,665.60
  6. Step 6: Final answer
    x = 15,878.84

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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.