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Finding the Fourth Proportional to 32,406.80, 44,705.64 and 27,922.76

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Solution

The fourth proportional to 32,406.80, 44,705.64 and 27,922.76 is: 38,519.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,406.80 : 44,705.64 = 27,922.76 : x
  2. Step 2: Convert to fraction form
    32,406.80/44,705.64 = 27,922.76/x
  3. Step 3: Cross multiply
    32,406.80x = 44,705.64 × 27,922.76
  4. Step 4: Simplify right side
    32,406.80x = 1,248,304,856.37
  5. Step 5: Solve for x
    x = 1,248,304,856.37/32,406.80
  6. Step 6: Final answer
    x = 38,519.84

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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.