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Finding the Fourth Proportional to 34,770.69, 47,948.22 and 29,751.53

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Solution

The fourth proportional to 34,770.69, 47,948.22 and 29,751.53 is: 41,026.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,770.69 : 47,948.22 = 29,751.53 : x
  2. Step 2: Convert to fraction form
    34,770.69/47,948.22 = 29,751.53/x
  3. Step 3: Cross multiply
    34,770.69x = 47,948.22 × 29,751.53
  4. Step 4: Simplify right side
    34,770.69x = 1,426,532,666.04
  5. Step 5: Solve for x
    x = 1,426,532,666.04/34,770.69
  6. Step 6: Final answer
    x = 41,026.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.