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Finding the Fourth Proportional to 71,029.67, 98,023.29 and 38,766.05

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Solution

The fourth proportional to 71,029.67, 98,023.29 and 38,766.05 is: 53,498.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,029.67 : 98,023.29 = 38,766.05 : x
  2. Step 2: Convert to fraction form
    71,029.67/98,023.29 = 38,766.05/x
  3. Step 3: Cross multiply
    71,029.67x = 98,023.29 × 38,766.05
  4. Step 4: Simplify right side
    71,029.67x = 3,799,975,271.19
  5. Step 5: Solve for x
    x = 3,799,975,271.19/71,029.67
  6. Step 6: Final answer
    x = 53,498.43

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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.