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Finding the Fourth Proportional to 76,512.60, 114,785.10 and 23,200.20

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Solution

The fourth proportional to 76,512.60, 114,785.10 and 23,200.20 is: 34,805.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,512.60 : 114,785.10 = 23,200.20 : x
  2. Step 2: Convert to fraction form
    76,512.60/114,785.10 = 23,200.20/x
  3. Step 3: Cross multiply
    76,512.60x = 114,785.10 × 23,200.20
  4. Step 4: Simplify right side
    76,512.60x = 2,663,037,277.02
  5. Step 5: Solve for x
    x = 2,663,037,277.02/76,512.60
  6. Step 6: Final answer
    x = 34,805.21

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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.