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Finding the Fourth Proportional to 89,518.69, 123,538.89 and 49,235.50

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Solution

The fourth proportional to 89,518.69, 123,538.89 and 49,235.50 is: 67,946.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,518.69 : 123,538.89 = 49,235.50 : x
  2. Step 2: Convert to fraction form
    89,518.69/123,538.89 = 49,235.50/x
  3. Step 3: Cross multiply
    89,518.69x = 123,538.89 × 49,235.50
  4. Step 4: Simplify right side
    89,518.69x = 6,082,498,894.38
  5. Step 5: Solve for x
    x = 6,082,498,894.38/89,518.69
  6. Step 6: Final answer
    x = 67,946.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.