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Finding the Fourth Proportional to 32,652.05, 48,985.97 and 9,277.88

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Solution

The fourth proportional to 32,652.05, 48,985.97 and 9,277.88 is: 13,919.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,652.05 : 48,985.97 = 9,277.88 : x
  2. Step 2: Convert to fraction form
    32,652.05/48,985.97 = 9,277.88/x
  3. Step 3: Cross multiply
    32,652.05x = 48,985.97 × 9,277.88
  4. Step 4: Simplify right side
    32,652.05x = 454,485,660.02
  5. Step 5: Solve for x
    x = 454,485,660.02/32,652.05
  6. Step 6: Final answer
    x = 13,919.06

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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.