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Finding the Fourth Proportional to 83,883.72, 125,805.42 and 24,703.32

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Solution

The fourth proportional to 83,883.72, 125,805.42 and 24,703.32 is: 37,049.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,883.72 : 125,805.42 = 24,703.32 : x
  2. Step 2: Convert to fraction form
    83,883.72/125,805.42 = 24,703.32/x
  3. Step 3: Cross multiply
    83,883.72x = 125,805.42 × 24,703.32
  4. Step 4: Simplify right side
    83,883.72x = 3,107,811,547.99
  5. Step 5: Solve for x
    x = 3,107,811,547.99/83,883.72
  6. Step 6: Final answer
    x = 37,049.04

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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.