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Finding the Fourth Proportional to 34,543.80, 51,815.51 and 29,849.53

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Solution

The fourth proportional to 34,543.80, 51,815.51 and 29,849.53 is: 44,774.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,543.80 : 51,815.51 = 29,849.53 : x
  2. Step 2: Convert to fraction form
    34,543.80/51,815.51 = 29,849.53/x
  3. Step 3: Cross multiply
    34,543.80x = 51,815.51 × 29,849.53
  4. Step 4: Simplify right side
    34,543.80x = 1,546,668,620.21
  5. Step 5: Solve for x
    x = 1,546,668,620.21/34,543.80
  6. Step 6: Final answer
    x = 44,774.13

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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.