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Finding the Fourth Proportional to 32,722.85, 45,218.79 and 27,875.00

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Solution

The fourth proportional to 32,722.85, 45,218.79 and 27,875.00 is: 38,519.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,722.85 : 45,218.79 = 27,875.00 : x
  2. Step 2: Convert to fraction form
    32,722.85/45,218.79 = 27,875.00/x
  3. Step 3: Cross multiply
    32,722.85x = 45,218.79 × 27,875.00
  4. Step 4: Simplify right side
    32,722.85x = 1,260,473,884.30
  5. Step 5: Solve for x
    x = 1,260,473,884.30/32,722.85
  6. Step 6: Final answer
    x = 38,519.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.