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Finding the Fourth Proportional to 102,138.39, 153,207.63 and 32,023.17

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Solution

The fourth proportional to 102,138.39, 153,207.63 and 32,023.17 is: 48,034.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,138.39 : 153,207.63 = 32,023.17 : x
  2. Step 2: Convert to fraction form
    102,138.39/153,207.63 = 32,023.17/x
  3. Step 3: Cross multiply
    102,138.39x = 153,207.63 × 32,023.17
  4. Step 4: Simplify right side
    102,138.39x = 4,906,193,980.79
  5. Step 5: Solve for x
    x = 4,906,193,980.79/102,138.39
  6. Step 6: Final answer
    x = 48,034.77

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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.