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Finding the Fourth Proportional to 32,644, 48,966.96 and 8,020

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Solution

The fourth proportional to 32,644, 48,966.96 and 8,020 is: 12,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,644 : 48,966.96 = 8,020 : x
  2. Step 2: Convert to fraction form
    32,644/48,966.96 = 8,020/x
  3. Step 3: Cross multiply
    32,644x = 48,966.96 × 8,020
  4. Step 4: Simplify right side
    32,644x = 392,715,019.20
  5. Step 5: Solve for x
    x = 392,715,019.20/32,644
  6. Step 6: Final answer
    x = 12,030.24

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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.