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Finding the Fourth Proportional to 32,820.52, 49,211.04 and 13,822.48

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Solution

The fourth proportional to 32,820.52, 49,211.04 and 13,822.48 is: 20,725.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,820.52 : 49,211.04 = 13,822.48 : x
  2. Step 2: Convert to fraction form
    32,820.52/49,211.04 = 13,822.48/x
  3. Step 3: Cross multiply
    32,820.52x = 49,211.04 × 13,822.48
  4. Step 4: Simplify right side
    32,820.52x = 680,218,616.18
  5. Step 5: Solve for x
    x = 680,218,616.18/32,820.52
  6. Step 6: Final answer
    x = 20,725.41

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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.