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Finding the Fourth Proportional to 89,616.42, 123,712.65 and 51,883.38

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Solution

The fourth proportional to 89,616.42, 123,712.65 and 51,883.38 is: 71,623.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,616.42 : 123,712.65 = 51,883.38 : x
  2. Step 2: Convert to fraction form
    89,616.42/123,712.65 = 51,883.38/x
  3. Step 3: Cross multiply
    89,616.42x = 123,712.65 × 51,883.38
  4. Step 4: Simplify right side
    89,616.42x = 6,418,630,430.76
  5. Step 5: Solve for x
    x = 6,418,630,430.76/89,616.42
  6. Step 6: Final answer
    x = 71,623.37

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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.