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Finding the Fourth Proportional to 105,832.58, 158,748.86 and 49,711.42

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Solution

The fourth proportional to 105,832.58, 158,748.86 and 49,711.42 is: 74,567.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,832.58 : 158,748.86 = 49,711.42 : x
  2. Step 2: Convert to fraction form
    105,832.58/158,748.86 = 49,711.42/x
  3. Step 3: Cross multiply
    105,832.58x = 158,748.86 × 49,711.42
  4. Step 4: Simplify right side
    105,832.58x = 7,891,631,576.70
  5. Step 5: Solve for x
    x = 7,891,631,576.70/105,832.58
  6. Step 6: Final answer
    x = 74,567.13

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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.