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Finding the Fourth Proportional to 32,606, 48,909.96 and 7,982

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Solution

The fourth proportional to 32,606, 48,909.96 and 7,982 is: 11,973.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,606 : 48,909.96 = 7,982 : x
  2. Step 2: Convert to fraction form
    32,606/48,909.96 = 7,982/x
  3. Step 3: Cross multiply
    32,606x = 48,909.96 × 7,982
  4. Step 4: Simplify right side
    32,606x = 390,399,300.72
  5. Step 5: Solve for x
    x = 390,399,300.72/32,606
  6. Step 6: Final answer
    x = 11,973.24

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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.