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Finding the Fourth Proportional to 38,666, 53,350.98 and 22,752.20

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Solution

The fourth proportional to 38,666, 53,350.98 and 22,752.20 is: 31,393.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,666 : 53,350.98 = 22,752.20 : x
  2. Step 2: Convert to fraction form
    38,666/53,350.98 = 22,752.20/x
  3. Step 3: Cross multiply
    38,666x = 53,350.98 × 22,752.20
  4. Step 4: Simplify right side
    38,666x = 1,213,852,167.16
  5. Step 5: Solve for x
    x = 1,213,852,167.16/38,666
  6. Step 6: Final answer
    x = 31,393.27

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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.