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Finding the Fourth Proportional to 102,115.60, 153,173.46 and 32,000.38

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Solution

The fourth proportional to 102,115.60, 153,173.46 and 32,000.38 is: 48,000.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,115.60 : 153,173.46 = 32,000.38 : x
  2. Step 2: Convert to fraction form
    102,115.60/153,173.46 = 32,000.38/x
  3. Step 3: Cross multiply
    102,115.60x = 153,173.46 × 32,000.38
  4. Step 4: Simplify right side
    102,115.60x = 4,901,608,925.91
  5. Step 5: Solve for x
    x = 4,901,608,925.91/102,115.60
  6. Step 6: Final answer
    x = 48,000.59

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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.