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Finding the Fourth Proportional to 30,417.38, 41,952.85 and 26,175.59

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Solution

The fourth proportional to 30,417.38, 41,952.85 and 26,175.59 is: 36,102.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,417.38 : 41,952.85 = 26,175.59 : x
  2. Step 2: Convert to fraction form
    30,417.38/41,952.85 = 26,175.59/x
  3. Step 3: Cross multiply
    30,417.38x = 41,952.85 × 26,175.59
  4. Step 4: Simplify right side
    30,417.38x = 1,098,140,600.93
  5. Step 5: Solve for x
    x = 1,098,140,600.93/30,417.38
  6. Step 6: Final answer
    x = 36,102.41

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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.