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Finding the Fourth Proportional to 89,641.88, 134,462.91 and 23,082.16

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Solution

The fourth proportional to 89,641.88, 134,462.91 and 23,082.16 is: 34,623.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,641.88 : 134,462.91 = 23,082.16 : x
  2. Step 2: Convert to fraction form
    89,641.88/134,462.91 = 23,082.16/x
  3. Step 3: Cross multiply
    89,641.88x = 134,462.91 × 23,082.16
  4. Step 4: Simplify right side
    89,641.88x = 3,103,694,124.23
  5. Step 5: Solve for x
    x = 3,103,694,124.23/89,641.88
  6. Step 6: Final answer
    x = 34,623.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.