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Finding the Fourth Proportional to 56,229.38, 84,302.40 and 34,037.50

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Solution

The fourth proportional to 56,229.38, 84,302.40 and 34,037.50 is: 51,031.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,229.38 : 84,302.40 = 34,037.50 : x
  2. Step 2: Convert to fraction form
    56,229.38/84,302.40 = 34,037.50/x
  3. Step 3: Cross multiply
    56,229.38x = 84,302.40 × 34,037.50
  4. Step 4: Simplify right side
    56,229.38x = 2,869,442,940
  5. Step 5: Solve for x
    x = 2,869,442,940/56,229.38
  6. Step 6: Final answer
    x = 51,031.03

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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.