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Finding the Fourth Proportional to 52,886.22, 72,982.92 and 29,012.38

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Solution

The fourth proportional to 52,886.22, 72,982.92 and 29,012.38 is: 40,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,886.22 : 72,982.92 = 29,012.38 : x
  2. Step 2: Convert to fraction form
    52,886.22/72,982.92 = 29,012.38/x
  3. Step 3: Cross multiply
    52,886.22x = 72,982.92 × 29,012.38
  4. Step 4: Simplify right side
    52,886.22x = 2,117,408,134.89
  5. Step 5: Solve for x
    x = 2,117,408,134.89/52,886.22
  6. Step 6: Final answer
    x = 40,037.05

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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.