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Finding the Fourth Proportional to 52,080.26, 71,872.07 and 31,948.25

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Solution

The fourth proportional to 52,080.26, 71,872.07 and 31,948.25 is: 44,089.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,080.26 : 71,872.07 = 31,948.25 : x
  2. Step 2: Convert to fraction form
    52,080.26/71,872.07 = 31,948.25/x
  3. Step 3: Cross multiply
    52,080.26x = 71,872.07 × 31,948.25
  4. Step 4: Simplify right side
    52,080.26x = 2,296,186,341.28
  5. Step 5: Solve for x
    x = 2,296,186,341.28/52,080.26
  6. Step 6: Final answer
    x = 44,089.38

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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.