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Finding the Fourth Proportional to 102,851.76, 154,244.56 and 32,714.64

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Solution

The fourth proportional to 102,851.76, 154,244.56 and 32,714.64 is: 49,061.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,851.76 : 154,244.56 = 32,714.64 : x
  2. Step 2: Convert to fraction form
    102,851.76/154,244.56 = 32,714.64/x
  3. Step 3: Cross multiply
    102,851.76x = 154,244.56 × 32,714.64
  4. Step 4: Simplify right side
    102,851.76x = 5,046,055,252.36
  5. Step 5: Solve for x
    x = 5,046,055,252.36/102,851.76
  6. Step 6: Final answer
    x = 49,061.44

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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.