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Finding the Fourth Proportional to 57,465.76, 86,182.28 and 24,193.38

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Solution

The fourth proportional to 57,465.76, 86,182.28 and 24,193.38 is: 36,283.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,465.76 : 86,182.28 = 24,193.38 : x
  2. Step 2: Convert to fraction form
    57,465.76/86,182.28 = 24,193.38/x
  3. Step 3: Cross multiply
    57,465.76x = 86,182.28 × 24,193.38
  4. Step 4: Simplify right side
    57,465.76x = 2,085,040,649.31
  5. Step 5: Solve for x
    x = 2,085,040,649.31/57,465.76
  6. Step 6: Final answer
    x = 36,283.18

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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.