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Finding the Fourth Proportional to 102,142.08, 153,217.98 and 32,022

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Solution

The fourth proportional to 102,142.08, 153,217.98 and 32,022 is: 48,034.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,142.08 : 153,217.98 = 32,022 : x
  2. Step 2: Convert to fraction form
    102,142.08/153,217.98 = 32,022/x
  3. Step 3: Cross multiply
    102,142.08x = 153,217.98 × 32,022
  4. Step 4: Simplify right side
    102,142.08x = 4,906,346,155.56
  5. Step 5: Solve for x
    x = 4,906,346,155.56/102,142.08
  6. Step 6: Final answer
    x = 48,034.52

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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.