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Finding the Fourth Proportional to 78,494.30, 108,324.18 and 42,686.40

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Solution

The fourth proportional to 78,494.30, 108,324.18 and 42,686.40 is: 58,908.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,494.30 : 108,324.18 = 42,686.40 : x
  2. Step 2: Convert to fraction form
    78,494.30/108,324.18 = 42,686.40/x
  3. Step 3: Cross multiply
    78,494.30x = 108,324.18 × 42,686.40
  4. Step 4: Simplify right side
    78,494.30x = 4,623,969,277.15
  5. Step 5: Solve for x
    x = 4,623,969,277.15/78,494.30
  6. Step 6: Final answer
    x = 58,908.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.