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Finding the Fourth Proportional to 75,212.88, 112,829.13 and 25,271.52

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Solution

The fourth proportional to 75,212.88, 112,829.13 and 25,271.52 is: 37,910.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,212.88 : 112,829.13 = 25,271.52 : x
  2. Step 2: Convert to fraction form
    75,212.88/112,829.13 = 25,271.52/x
  3. Step 3: Cross multiply
    75,212.88x = 112,829.13 × 25,271.52
  4. Step 4: Simplify right side
    75,212.88x = 2,851,363,615.38
  5. Step 5: Solve for x
    x = 2,851,363,615.38/75,212.88
  6. Step 6: Final answer
    x = 37,910.58

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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.