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Finding the Fourth Proportional to 105,886.46, 158,796 and 34,792.70

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Solution

The fourth proportional to 105,886.46, 158,796 and 34,792.70 is: 52,177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,886.46 : 158,796 = 34,792.70 : x
  2. Step 2: Convert to fraction form
    105,886.46/158,796 = 34,792.70/x
  3. Step 3: Cross multiply
    105,886.46x = 158,796 × 34,792.70
  4. Step 4: Simplify right side
    105,886.46x = 5,524,941,589.20
  5. Step 5: Solve for x
    x = 5,524,941,589.20/105,886.46
  6. Step 6: Final answer
    x = 52,177.98

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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.