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Finding the Fourth Proportional to 89,558, 123,590.76 and 49,814

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Solution

The fourth proportional to 89,558, 123,590.76 and 49,814 is: 68,743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,558 : 123,590.76 = 49,814 : x
  2. Step 2: Convert to fraction form
    89,558/123,590.76 = 49,814/x
  3. Step 3: Cross multiply
    89,558x = 123,590.76 × 49,814
  4. Step 4: Simplify right side
    89,558x = 6,156,550,118.64
  5. Step 5: Solve for x
    x = 6,156,550,118.64/89,558
  6. Step 6: Final answer
    x = 68,743.72

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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.