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Finding the Fourth Proportional to 38,952.57, 58,408.84 and 17,874.46

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Solution

The fourth proportional to 38,952.57, 58,408.84 and 17,874.46 is: 26,802.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,952.57 : 58,408.84 = 17,874.46 : x
  2. Step 2: Convert to fraction form
    38,952.57/58,408.84 = 17,874.46/x
  3. Step 3: Cross multiply
    38,952.57x = 58,408.84 × 17,874.46
  4. Step 4: Simplify right side
    38,952.57x = 1,044,026,384.85
  5. Step 5: Solve for x
    x = 1,044,026,384.85/38,952.57
  6. Step 6: Final answer
    x = 26,802.51

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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.