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Finding the Fourth Proportional to 102,779.26, 154,136.08 and 32,642.17

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Solution

The fourth proportional to 102,779.26, 154,136.08 and 32,642.17 is: 48,952.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,779.26 : 154,136.08 = 32,642.17 : x
  2. Step 2: Convert to fraction form
    102,779.26/154,136.08 = 32,642.17/x
  3. Step 3: Cross multiply
    102,779.26x = 154,136.08 × 32,642.17
  4. Step 4: Simplify right side
    102,779.26x = 5,031,336,126.49
  5. Step 5: Solve for x
    x = 5,031,336,126.49/102,779.26
  6. Step 6: Final answer
    x = 48,952.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.