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Finding the Fourth Proportional to 76,753.20, 105,912.18 and 42,758.22

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Solution

The fourth proportional to 76,753.20, 105,912.18 and 42,758.22 is: 59,002.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,753.20 : 105,912.18 = 42,758.22 : x
  2. Step 2: Convert to fraction form
    76,753.20/105,912.18 = 42,758.22/x
  3. Step 3: Cross multiply
    76,753.20x = 105,912.18 × 42,758.22
  4. Step 4: Simplify right side
    76,753.20x = 4,528,616,293.12
  5. Step 5: Solve for x
    x = 4,528,616,293.12/76,753.20
  6. Step 6: Final answer
    x = 59,002.31

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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.