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Finding the Fourth Proportional to 78,380.38, 108,165.71 and 42,571.09

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Solution

The fourth proportional to 78,380.38, 108,165.71 and 42,571.09 is: 58,748.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,380.38 : 108,165.71 = 42,571.09 : x
  2. Step 2: Convert to fraction form
    78,380.38/108,165.71 = 42,571.09/x
  3. Step 3: Cross multiply
    78,380.38x = 108,165.71 × 42,571.09
  4. Step 4: Simplify right side
    78,380.38x = 4,604,731,962.47
  5. Step 5: Solve for x
    x = 4,604,731,962.47/78,380.38
  6. Step 6: Final answer
    x = 58,748.53

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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.