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Finding the Fourth Proportional to 105,732.59, 158,631.77 and 34,655.85

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Solution

The fourth proportional to 105,732.59, 158,631.77 and 34,655.85 is: 51,994.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,732.59 : 158,631.77 = 34,655.85 : x
  2. Step 2: Convert to fraction form
    105,732.59/158,631.77 = 34,655.85/x
  3. Step 3: Cross multiply
    105,732.59x = 158,631.77 × 34,655.85
  4. Step 4: Simplify right side
    105,732.59x = 5,497,518,826.35
  5. Step 5: Solve for x
    x = 5,497,518,826.35/105,732.59
  6. Step 6: Final answer
    x = 51,994.55

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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.