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Finding the Fourth Proportional to 89,363.40, 123,322.34 and 49,078

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Solution

The fourth proportional to 89,363.40, 123,322.34 and 49,078 is: 67,728.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,363.40 : 123,322.34 = 49,078 : x
  2. Step 2: Convert to fraction form
    89,363.40/123,322.34 = 49,078/x
  3. Step 3: Cross multiply
    89,363.40x = 123,322.34 × 49,078
  4. Step 4: Simplify right side
    89,363.40x = 6,052,413,802.52
  5. Step 5: Solve for x
    x = 6,052,413,802.52/89,363.40
  6. Step 6: Final answer
    x = 67,728.11

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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.