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Finding the Fourth Proportional to 51,582.32, 71,218.26 and 32,230.74

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Solution

The fourth proportional to 51,582.32, 71,218.26 and 32,230.74 is: 44,500.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,582.32 : 71,218.26 = 32,230.74 : x
  2. Step 2: Convert to fraction form
    51,582.32/71,218.26 = 32,230.74/x
  3. Step 3: Cross multiply
    51,582.32x = 71,218.26 × 32,230.74
  4. Step 4: Simplify right side
    51,582.32x = 2,295,417,221.31
  5. Step 5: Solve for x
    x = 2,295,417,221.31/51,582.32
  6. Step 6: Final answer
    x = 44,500.08

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