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Finding the Fourth Proportional to 53,523.32, 80,301.17 and 20,253.58

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Solution

The fourth proportional to 53,523.32, 80,301.17 and 20,253.58 is: 30,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,523.32 : 80,301.17 = 20,253.58 : x
  2. Step 2: Convert to fraction form
    53,523.32/80,301.17 = 20,253.58/x
  3. Step 3: Cross multiply
    53,523.32x = 80,301.17 × 20,253.58
  4. Step 4: Simplify right side
    53,523.32x = 1,626,386,020.57
  5. Step 5: Solve for x
    x = 1,626,386,020.57/53,523.32
  6. Step 6: Final answer
    x = 30,386.50

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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.