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Finding the Fourth Proportional to 52,197, 72,031.86 and 29,841

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Solution

The fourth proportional to 52,197, 72,031.86 and 29,841 is: 41,180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,197 : 72,031.86 = 29,841 : x
  2. Step 2: Convert to fraction form
    52,197/72,031.86 = 29,841/x
  3. Step 3: Cross multiply
    52,197x = 72,031.86 × 29,841
  4. Step 4: Simplify right side
    52,197x = 2,149,502,734.26
  5. Step 5: Solve for x
    x = 2,149,502,734.26/52,197
  6. Step 6: Final answer
    x = 41,180.58

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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.