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Finding the Fourth Proportional to 56,836.33, 78,432.32 and 31,343.76

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Solution

The fourth proportional to 56,836.33, 78,432.32 and 31,343.76 is: 43,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,836.33 : 78,432.32 = 31,343.76 : x
  2. Step 2: Convert to fraction form
    56,836.33/78,432.32 = 31,343.76/x
  3. Step 3: Cross multiply
    56,836.33x = 78,432.32 × 31,343.76
  4. Step 4: Simplify right side
    56,836.33x = 2,458,363,892.68
  5. Step 5: Solve for x
    x = 2,458,363,892.68/56,836.33
  6. Step 6: Final answer
    x = 43,253.39

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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.