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Finding the Fourth Proportional to 57,785.60, 86,678.40 and 32,902.40

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Solution

The fourth proportional to 57,785.60, 86,678.40 and 32,902.40 is: 49,353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,785.60 : 86,678.40 = 32,902.40 : x
  2. Step 2: Convert to fraction form
    57,785.60/86,678.40 = 32,902.40/x
  3. Step 3: Cross multiply
    57,785.60x = 86,678.40 × 32,902.40
  4. Step 4: Simplify right side
    57,785.60x = 2,851,927,388.16
  5. Step 5: Solve for x
    x = 2,851,927,388.16/57,785.60
  6. Step 6: Final answer
    x = 49,353.60

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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.