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Finding the Fourth Proportional to 75,565.80, 113,324.49 and 24,953.49

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Solution

The fourth proportional to 75,565.80, 113,324.49 and 24,953.49 is: 37,422.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,565.80 : 113,324.49 = 24,953.49 : x
  2. Step 2: Convert to fraction form
    75,565.80/113,324.49 = 24,953.49/x
  3. Step 3: Cross multiply
    75,565.80x = 113,324.49 × 24,953.49
  4. Step 4: Simplify right side
    75,565.80x = 2,827,841,527.97
  5. Step 5: Solve for x
    x = 2,827,841,527.97/75,565.80
  6. Step 6: Final answer
    x = 37,422.24

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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.