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Finding the Fourth Proportional to 38,377.92, 52,938.72 and 23,448

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Solution

The fourth proportional to 38,377.92, 52,938.72 and 23,448 is: 32,344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,377.92 : 52,938.72 = 23,448 : x
  2. Step 2: Convert to fraction form
    38,377.92/52,938.72 = 23,448/x
  3. Step 3: Cross multiply
    38,377.92x = 52,938.72 × 23,448
  4. Step 4: Simplify right side
    38,377.92x = 1,241,307,106.56
  5. Step 5: Solve for x
    x = 1,241,307,106.56/38,377.92
  6. Step 6: Final answer
    x = 32,344.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.