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Finding the Fourth Proportional to 71,462.36, 107,080.75 and 26,421.91

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Solution

The fourth proportional to 71,462.36, 107,080.75 and 26,421.91 is: 39,591.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,462.36 : 107,080.75 = 26,421.91 : x
  2. Step 2: Convert to fraction form
    71,462.36/107,080.75 = 26,421.91/x
  3. Step 3: Cross multiply
    71,462.36x = 107,080.75 × 26,421.91
  4. Step 4: Simplify right side
    71,462.36x = 2,829,277,939.23
  5. Step 5: Solve for x
    x = 2,829,277,939.23/71,462.36
  6. Step 6: Final answer
    x = 39,591.16

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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.