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Finding the Fourth Proportional to 89,598.02, 123,638.42 and 51,357.11

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Solution

The fourth proportional to 89,598.02, 123,638.42 and 51,357.11 is: 70,868.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,598.02 : 123,638.42 = 51,357.11 : x
  2. Step 2: Convert to fraction form
    89,598.02/123,638.42 = 51,357.11/x
  3. Step 3: Cross multiply
    89,598.02x = 123,638.42 × 51,357.11
  4. Step 4: Simplify right side
    89,598.02x = 6,349,711,679.38
  5. Step 5: Solve for x
    x = 6,349,711,679.38/89,598.02
  6. Step 6: Final answer
    x = 70,868.88

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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.