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Finding the Fourth Proportional to 89,805.57, 123,866.54 and 61,074.16

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Solution

The fourth proportional to 89,805.57, 123,866.54 and 61,074.16 is: 84,238.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,805.57 : 123,866.54 = 61,074.16 : x
  2. Step 2: Convert to fraction form
    89,805.57/123,866.54 = 61,074.16/x
  3. Step 3: Cross multiply
    89,805.57x = 123,866.54 × 61,074.16
  4. Step 4: Simplify right side
    89,805.57x = 7,565,043,957.90
  5. Step 5: Solve for x
    x = 7,565,043,957.90/89,805.57
  6. Step 6: Final answer
    x = 84,238.03

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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.