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Finding the Fourth Proportional to 78,687.42, 108,589.23 and 42,878.40

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Solution

The fourth proportional to 78,687.42, 108,589.23 and 42,878.40 is: 59,172.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,687.42 : 108,589.23 = 42,878.40 : x
  2. Step 2: Convert to fraction form
    78,687.42/108,589.23 = 42,878.40/x
  3. Step 3: Cross multiply
    78,687.42x = 108,589.23 × 42,878.40
  4. Step 4: Simplify right side
    78,687.42x = 4,656,132,439.63
  5. Step 5: Solve for x
    x = 4,656,132,439.63/78,687.42
  6. Step 6: Final answer
    x = 59,172.51

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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.