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Finding the Fourth Proportional to 49,152.80, 73,714.80 and 22,851.20

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Solution

The fourth proportional to 49,152.80, 73,714.80 and 22,851.20 is: 34,270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,152.80 : 73,714.80 = 22,851.20 : x
  2. Step 2: Convert to fraction form
    49,152.80/73,714.80 = 22,851.20/x
  3. Step 3: Cross multiply
    49,152.80x = 73,714.80 × 22,851.20
  4. Step 4: Simplify right side
    49,152.80x = 1,684,471,637.76
  5. Step 5: Solve for x
    x = 1,684,471,637.76/49,152.80
  6. Step 6: Final answer
    x = 34,270.11

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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.