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Finding the Fourth Proportional to 37,298.78, 51,472.29 and 20,531.78

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Solution

The fourth proportional to 37,298.78, 51,472.29 and 20,531.78 is: 28,333.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,298.78 : 51,472.29 = 20,531.78 : x
  2. Step 2: Convert to fraction form
    37,298.78/51,472.29 = 20,531.78/x
  3. Step 3: Cross multiply
    37,298.78x = 51,472.29 × 20,531.78
  4. Step 4: Simplify right side
    37,298.78x = 1,056,817,734.38
  5. Step 5: Solve for x
    x = 1,056,817,734.38/37,298.78
  6. Step 6: Final answer
    x = 28,333.84

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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.