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Finding the Fourth Proportional to 32,222.80, 48,463.80 and 28,853.20

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Solution

The fourth proportional to 32,222.80, 48,463.80 and 28,853.20 is: 43,395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,222.80 : 48,463.80 = 28,853.20 : x
  2. Step 2: Convert to fraction form
    32,222.80/48,463.80 = 28,853.20/x
  3. Step 3: Cross multiply
    32,222.80x = 48,463.80 × 28,853.20
  4. Step 4: Simplify right side
    32,222.80x = 1,398,335,714.16
  5. Step 5: Solve for x
    x = 1,398,335,714.16/32,222.80
  6. Step 6: Final answer
    x = 43,395.85

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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.