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Finding the Fourth Proportional to 102,714.96, 154,071.20 and 32,594.88

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Solution

The fourth proportional to 102,714.96, 154,071.20 and 32,594.88 is: 48,891.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,714.96 : 154,071.20 = 32,594.88 : x
  2. Step 2: Convert to fraction form
    102,714.96/154,071.20 = 32,594.88/x
  3. Step 3: Cross multiply
    102,714.96x = 154,071.20 × 32,594.88
  4. Step 4: Simplify right side
    102,714.96x = 5,021,932,275.46
  5. Step 5: Solve for x
    x = 5,021,932,275.46/102,714.96
  6. Step 6: Final answer
    x = 48,891.93

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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.