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Finding the Fourth Proportional to 89,426, 123,407.88 and 49,682

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Solution

The fourth proportional to 89,426, 123,407.88 and 49,682 is: 68,561.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,426 : 123,407.88 = 49,682 : x
  2. Step 2: Convert to fraction form
    89,426/123,407.88 = 49,682/x
  3. Step 3: Cross multiply
    89,426x = 123,407.88 × 49,682
  4. Step 4: Simplify right side
    89,426x = 6,131,150,294.16
  5. Step 5: Solve for x
    x = 6,131,150,294.16/89,426
  6. Step 6: Final answer
    x = 68,561.16

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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.