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Finding the Fourth Proportional to 78,494.13, 108,321.12 and 42,683.38

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Solution

The fourth proportional to 78,494.13, 108,321.12 and 42,683.38 is: 58,902.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,494.13 : 108,321.12 = 42,683.38 : x
  2. Step 2: Convert to fraction form
    78,494.13/108,321.12 = 42,683.38/x
  3. Step 3: Cross multiply
    78,494.13x = 108,321.12 × 42,683.38
  4. Step 4: Simplify right side
    78,494.13x = 4,623,511,256.18
  5. Step 5: Solve for x
    x = 4,623,511,256.18/78,494.13
  6. Step 6: Final answer
    x = 58,902.64

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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.