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Finding the Fourth Proportional to 78,334.74, 108,101.22 and 42,524.73

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Solution

The fourth proportional to 78,334.74, 108,101.22 and 42,524.73 is: 58,683.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,334.74 : 108,101.22 = 42,524.73 : x
  2. Step 2: Convert to fraction form
    78,334.74/108,101.22 = 42,524.73/x
  3. Step 3: Cross multiply
    78,334.74x = 108,101.22 × 42,524.73
  4. Step 4: Simplify right side
    78,334.74x = 4,596,975,193.17
  5. Step 5: Solve for x
    x = 4,596,975,193.17/78,334.74
  6. Step 6: Final answer
    x = 58,683.74

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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.