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Finding the Fourth Proportional to 76,641.60, 114,735.60 and 57,007.20

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Solution

The fourth proportional to 76,641.60, 114,735.60 and 57,007.20 is: 85,342.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,641.60 : 114,735.60 = 57,007.20 : x
  2. Step 2: Convert to fraction form
    76,641.60/114,735.60 = 57,007.20/x
  3. Step 3: Cross multiply
    76,641.60x = 114,735.60 × 57,007.20
  4. Step 4: Simplify right side
    76,641.60x = 6,540,755,296.32
  5. Step 5: Solve for x
    x = 6,540,755,296.32/76,641.60
  6. Step 6: Final answer
    x = 85,342.10

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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.