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Finding the Fourth Proportional to 89,433, 123,418.14 and 49,150.08

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Solution

The fourth proportional to 89,433, 123,418.14 and 49,150.08 is: 67,827.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,433 : 123,418.14 = 49,150.08 : x
  2. Step 2: Convert to fraction form
    89,433/123,418.14 = 49,150.08/x
  3. Step 3: Cross multiply
    89,433x = 123,418.14 × 49,150.08
  4. Step 4: Simplify right side
    89,433x = 6,066,011,454.45
  5. Step 5: Solve for x
    x = 6,066,011,454.45/89,433
  6. Step 6: Final answer
    x = 67,827.44

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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.