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Finding the Fourth Proportional to 52,041.90, 71,820.36 and 31,899.90

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Solution

The fourth proportional to 52,041.90, 71,820.36 and 31,899.90 is: 44,023.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,041.90 : 71,820.36 = 31,899.90 : x
  2. Step 2: Convert to fraction form
    52,041.90/71,820.36 = 31,899.90/x
  3. Step 3: Cross multiply
    52,041.90x = 71,820.36 × 31,899.90
  4. Step 4: Simplify right side
    52,041.90x = 2,291,062,301.96
  5. Step 5: Solve for x
    x = 2,291,062,301.96/52,041.90
  6. Step 6: Final answer
    x = 44,023.42

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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.