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Finding the Fourth Proportional to 105,380.65, 145,424.98 and 56,982.24

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Solution

The fourth proportional to 105,380.65, 145,424.98 and 56,982.24 is: 78,635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,380.65 : 145,424.98 = 56,982.24 : x
  2. Step 2: Convert to fraction form
    105,380.65/145,424.98 = 56,982.24/x
  3. Step 3: Cross multiply
    105,380.65x = 145,424.98 × 56,982.24
  4. Step 4: Simplify right side
    105,380.65x = 8,286,640,969.90
  5. Step 5: Solve for x
    x = 8,286,640,969.90/105,380.65
  6. Step 6: Final answer
    x = 78,635.32

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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.