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Finding the Fourth Proportional to 38,209.70, 57,314.55 and 10,507.70

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Solution

The fourth proportional to 38,209.70, 57,314.55 and 10,507.70 is: 15,761.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,209.70 : 57,314.55 = 10,507.70 : x
  2. Step 2: Convert to fraction form
    38,209.70/57,314.55 = 10,507.70/x
  3. Step 3: Cross multiply
    38,209.70x = 57,314.55 × 10,507.70
  4. Step 4: Simplify right side
    38,209.70x = 602,244,097.04
  5. Step 5: Solve for x
    x = 602,244,097.04/38,209.70
  6. Step 6: Final answer
    x = 15,761.55

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Similar ratio
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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.