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Finding the Fourth Proportional to 92,029.80, 138,044.70 and 32,867.40

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Solution

The fourth proportional to 92,029.80, 138,044.70 and 32,867.40 is: 49,301.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,029.80 : 138,044.70 = 32,867.40 : x
  2. Step 2: Convert to fraction form
    92,029.80/138,044.70 = 32,867.40/x
  3. Step 3: Cross multiply
    92,029.80x = 138,044.70 × 32,867.40
  4. Step 4: Simplify right side
    92,029.80x = 4,537,170,372.78
  5. Step 5: Solve for x
    x = 4,537,170,372.78/92,029.80
  6. Step 6: Final answer
    x = 49,301.10

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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.