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Finding the Fourth Proportional to 89,820.96, 123,952.88 and 51,583

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Solution

The fourth proportional to 89,820.96, 123,952.88 and 51,583 is: 71,184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,820.96 : 123,952.88 = 51,583 : x
  2. Step 2: Convert to fraction form
    89,820.96/123,952.88 = 51,583/x
  3. Step 3: Cross multiply
    89,820.96x = 123,952.88 × 51,583
  4. Step 4: Simplify right side
    89,820.96x = 6,393,861,409.04
  5. Step 5: Solve for x
    x = 6,393,861,409.04/89,820.96
  6. Step 6: Final answer
    x = 71,184.51

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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.