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Finding the Fourth Proportional to 89,176, 123,062.88 and 49,432

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Solution

The fourth proportional to 89,176, 123,062.88 and 49,432 is: 68,216.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,176 : 123,062.88 = 49,432 : x
  2. Step 2: Convert to fraction form
    89,176/123,062.88 = 49,432/x
  3. Step 3: Cross multiply
    89,176x = 123,062.88 × 49,432
  4. Step 4: Simplify right side
    89,176x = 6,083,244,284.16
  5. Step 5: Solve for x
    x = 6,083,244,284.16/89,176
  6. Step 6: Final answer
    x = 68,216.16

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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.