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Finding the Fourth Proportional to 53,862.88, 80,805.24 and 22,698.12

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Solution

The fourth proportional to 53,862.88, 80,805.24 and 22,698.12 is: 34,051.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,862.88 : 80,805.24 = 22,698.12 : x
  2. Step 2: Convert to fraction form
    53,862.88/80,805.24 = 22,698.12/x
  3. Step 3: Cross multiply
    53,862.88x = 80,805.24 × 22,698.12
  4. Step 4: Simplify right side
    53,862.88x = 1,834,127,034.15
  5. Step 5: Solve for x
    x = 1,834,127,034.15/53,862.88
  6. Step 6: Final answer
    x = 34,051.78

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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.