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Finding the Fourth Proportional to 78,441.81, 108,250.54 and 42,631.83

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Solution

The fourth proportional to 78,441.81, 108,250.54 and 42,631.83 is: 58,832.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,441.81 : 108,250.54 = 42,631.83 : x
  2. Step 2: Convert to fraction form
    78,441.81/108,250.54 = 42,631.83/x
  3. Step 3: Cross multiply
    78,441.81x = 108,250.54 × 42,631.83
  4. Step 4: Simplify right side
    78,441.81x = 4,614,918,077.44
  5. Step 5: Solve for x
    x = 4,614,918,077.44/78,441.81
  6. Step 6: Final answer
    x = 58,832.38

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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.