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Finding the Fourth Proportional to 68,538.60, 102,807.90 and 24,150.60

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Solution

The fourth proportional to 68,538.60, 102,807.90 and 24,150.60 is: 36,225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,538.60 : 102,807.90 = 24,150.60 : x
  2. Step 2: Convert to fraction form
    68,538.60/102,807.90 = 24,150.60/x
  3. Step 3: Cross multiply
    68,538.60x = 102,807.90 × 24,150.60
  4. Step 4: Simplify right side
    68,538.60x = 2,482,872,469.74
  5. Step 5: Solve for x
    x = 2,482,872,469.74/68,538.60
  6. Step 6: Final answer
    x = 36,225.90

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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.