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Finding the Fourth Proportional to 40,077.68, 55,272.12 and 25,916.72

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Solution

The fourth proportional to 40,077.68, 55,272.12 and 25,916.72 is: 35,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,077.68 : 55,272.12 = 25,916.72 : x
  2. Step 2: Convert to fraction form
    40,077.68/55,272.12 = 25,916.72/x
  3. Step 3: Cross multiply
    40,077.68x = 55,272.12 × 25,916.72
  4. Step 4: Simplify right side
    40,077.68x = 1,432,472,057.85
  5. Step 5: Solve for x
    x = 1,432,472,057.85/40,077.68
  6. Step 6: Final answer
    x = 35,742.39

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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.