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Finding the Fourth Proportional to 89,434, 123,419.40 and 49,690

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Solution

The fourth proportional to 89,434, 123,419.40 and 49,690 is: 68,572.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,434 : 123,419.40 = 49,690 : x
  2. Step 2: Convert to fraction form
    89,434/123,419.40 = 49,690/x
  3. Step 3: Cross multiply
    89,434x = 123,419.40 × 49,690
  4. Step 4: Simplify right side
    89,434x = 6,132,709,986
  5. Step 5: Solve for x
    x = 6,132,709,986/89,434
  6. Step 6: Final answer
    x = 68,572.47

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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.