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Finding the Fourth Proportional to 89,182.56, 123,073.32 and 48,900

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Solution

The fourth proportional to 89,182.56, 123,073.32 and 48,900 is: 67,482.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,182.56 : 123,073.32 = 48,900 : x
  2. Step 2: Convert to fraction form
    89,182.56/123,073.32 = 48,900/x
  3. Step 3: Cross multiply
    89,182.56x = 123,073.32 × 48,900
  4. Step 4: Simplify right side
    89,182.56x = 6,018,285,348
  5. Step 5: Solve for x
    x = 6,018,285,348/89,182.56
  6. Step 6: Final answer
    x = 67,482.76

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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.