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Finding the Fourth Proportional to 38,744.40, 57,972.60 and 28,376.40

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Solution

The fourth proportional to 38,744.40, 57,972.60 and 28,376.40 is: 42,459.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,744.40 : 57,972.60 = 28,376.40 : x
  2. Step 2: Convert to fraction form
    38,744.40/57,972.60 = 28,376.40/x
  3. Step 3: Cross multiply
    38,744.40x = 57,972.60 × 28,376.40
  4. Step 4: Simplify right side
    38,744.40x = 1,645,053,686.64
  5. Step 5: Solve for x
    x = 1,645,053,686.64/38,744.40
  6. Step 6: Final answer
    x = 42,459.13

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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.