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Finding the Fourth Proportional to 113,954.52, 170,931.90 and 29,714.61

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Solution

The fourth proportional to 113,954.52, 170,931.90 and 29,714.61 is: 44,571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,954.52 : 170,931.90 = 29,714.61 : x
  2. Step 2: Convert to fraction form
    113,954.52/170,931.90 = 29,714.61/x
  3. Step 3: Cross multiply
    113,954.52x = 170,931.90 × 29,714.61
  4. Step 4: Simplify right side
    113,954.52x = 5,079,174,745.06
  5. Step 5: Solve for x
    x = 5,079,174,745.06/113,954.52
  6. Step 6: Final answer
    x = 44,571.95

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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.