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Finding the Fourth Proportional to 102,149.92, 153,224.88 and 32,034.70

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Solution

The fourth proportional to 102,149.92, 153,224.88 and 32,034.70 is: 48,052.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,149.92 : 153,224.88 = 32,034.70 : x
  2. Step 2: Convert to fraction form
    102,149.92/153,224.88 = 32,034.70/x
  3. Step 3: Cross multiply
    102,149.92x = 153,224.88 × 32,034.70
  4. Step 4: Simplify right side
    102,149.92x = 4,908,513,063.34
  5. Step 5: Solve for x
    x = 4,908,513,063.34/102,149.92
  6. Step 6: Final answer
    x = 48,052.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.