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Finding the Fourth Proportional to 51,842.70, 77,703.03 and 29,671.38

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Solution

The fourth proportional to 51,842.70, 77,703.03 and 29,671.38 is: 44,472.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,842.70 : 77,703.03 = 29,671.38 : x
  2. Step 2: Convert to fraction form
    51,842.70/77,703.03 = 29,671.38/x
  3. Step 3: Cross multiply
    51,842.70x = 77,703.03 × 29,671.38
  4. Step 4: Simplify right side
    51,842.70x = 2,305,556,130.28
  5. Step 5: Solve for x
    x = 2,305,556,130.28/51,842.70
  6. Step 6: Final answer
    x = 44,472.15

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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.