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Finding the Fourth Proportional to 57,154.80, 78,876.48 and 34,493.43

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Solution

The fourth proportional to 57,154.80, 78,876.48 and 34,493.43 is: 47,602.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,154.80 : 78,876.48 = 34,493.43 : x
  2. Step 2: Convert to fraction form
    57,154.80/78,876.48 = 34,493.43/x
  3. Step 3: Cross multiply
    57,154.80x = 78,876.48 × 34,493.43
  4. Step 4: Simplify right side
    57,154.80x = 2,720,720,341.53
  5. Step 5: Solve for x
    x = 2,720,720,341.53/57,154.80
  6. Step 6: Final answer
    x = 47,602.66

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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.