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Finding the Fourth Proportional to 89,182, 123,071.16 and 51,456.25

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Solution

The fourth proportional to 89,182, 123,071.16 and 51,456.25 is: 71,009.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,182 : 123,071.16 = 51,456.25 : x
  2. Step 2: Convert to fraction form
    89,182/123,071.16 = 51,456.25/x
  3. Step 3: Cross multiply
    89,182x = 123,071.16 × 51,456.25
  4. Step 4: Simplify right side
    89,182x = 6,332,780,376.75
  5. Step 5: Solve for x
    x = 6,332,780,376.75/89,182
  6. Step 6: Final answer
    x = 71,009.63

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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.