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Finding the Fourth Proportional to 89,291.64, 123,223.32 and 49,008

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Solution

The fourth proportional to 89,291.64, 123,223.32 and 49,008 is: 67,631.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,291.64 : 123,223.32 = 49,008 : x
  2. Step 2: Convert to fraction form
    89,291.64/123,223.32 = 49,008/x
  3. Step 3: Cross multiply
    89,291.64x = 123,223.32 × 49,008
  4. Step 4: Simplify right side
    89,291.64x = 6,038,928,466.56
  5. Step 5: Solve for x
    x = 6,038,928,466.56/89,291.64
  6. Step 6: Final answer
    x = 67,631.51

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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.