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Finding the Fourth Proportional to 102,242.96, 153,379.92 and 32,115.68

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Solution

The fourth proportional to 102,242.96, 153,379.92 and 32,115.68 is: 48,178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,242.96 : 153,379.92 = 32,115.68 : x
  2. Step 2: Convert to fraction form
    102,242.96/153,379.92 = 32,115.68/x
  3. Step 3: Cross multiply
    102,242.96x = 153,379.92 × 32,115.68
  4. Step 4: Simplify right side
    102,242.96x = 4,925,900,429.15
  5. Step 5: Solve for x
    x = 4,925,900,429.15/102,242.96
  6. Step 6: Final answer
    x = 48,178.38

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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.