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Finding the Fourth Proportional to 78,441.54, 108,249.24 and 42,631.47

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Solution

The fourth proportional to 78,441.54, 108,249.24 and 42,631.47 is: 58,831.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,441.54 : 108,249.24 = 42,631.47 : x
  2. Step 2: Convert to fraction form
    78,441.54/108,249.24 = 42,631.47/x
  3. Step 3: Cross multiply
    78,441.54x = 108,249.24 × 42,631.47
  4. Step 4: Simplify right side
    78,441.54x = 4,614,824,227.58
  5. Step 5: Solve for x
    x = 4,614,824,227.58/78,441.54
  6. Step 6: Final answer
    x = 58,831.38

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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.