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Finding the Fourth Proportional to 34,089.38, 47,042.87 and 19,751.16

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Solution

The fourth proportional to 34,089.38, 47,042.87 and 19,751.16 is: 27,256.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,089.38 : 47,042.87 = 19,751.16 : x
  2. Step 2: Convert to fraction form
    34,089.38/47,042.87 = 19,751.16/x
  3. Step 3: Cross multiply
    34,089.38x = 47,042.87 × 19,751.16
  4. Step 4: Simplify right side
    34,089.38x = 929,151,153.47
  5. Step 5: Solve for x
    x = 929,151,153.47/34,089.38
  6. Step 6: Final answer
    x = 27,256.33

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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.