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Finding the Fourth Proportional to 102,167.73, 153,251.46 and 32,052.51

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Solution

The fourth proportional to 102,167.73, 153,251.46 and 32,052.51 is: 48,078.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,167.73 : 153,251.46 = 32,052.51 : x
  2. Step 2: Convert to fraction form
    102,167.73/153,251.46 = 32,052.51/x
  3. Step 3: Cross multiply
    102,167.73x = 153,251.46 × 32,052.51
  4. Step 4: Simplify right side
    102,167.73x = 4,912,093,954.16
  5. Step 5: Solve for x
    x = 4,912,093,954.16/102,167.73
  6. Step 6: Final answer
    x = 48,078.72

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1.5x scale

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.