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Finding the Fourth Proportional to 52,633, 78,988.38 and 24,931

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Solution

The fourth proportional to 52,633, 78,988.38 and 24,931 is: 37,414.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,633 : 78,988.38 = 24,931 : x
  2. Step 2: Convert to fraction form
    52,633/78,988.38 = 24,931/x
  3. Step 3: Cross multiply
    52,633x = 78,988.38 × 24,931
  4. Step 4: Simplify right side
    52,633x = 1,969,259,301.78
  5. Step 5: Solve for x
    x = 1,969,259,301.78/52,633
  6. Step 6: Final answer
    x = 37,414.92

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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.