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Finding the Fourth Proportional to 53,645.76, 80,442.72 and 22,472.64

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Solution

The fourth proportional to 53,645.76, 80,442.72 and 22,472.64 is: 33,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,645.76 : 80,442.72 = 22,472.64 : x
  2. Step 2: Convert to fraction form
    53,645.76/80,442.72 = 22,472.64/x
  3. Step 3: Cross multiply
    53,645.76x = 80,442.72 × 22,472.64
  4. Step 4: Simplify right side
    53,645.76x = 1,807,760,287.18
  5. Step 5: Solve for x
    x = 1,807,760,287.18/53,645.76
  6. Step 6: Final answer
    x = 33,698.10

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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.