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Finding the Fourth Proportional to 32,095.71, 48,139.92 and 8,716.68

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Solution

The fourth proportional to 32,095.71, 48,139.92 and 8,716.68 is: 13,074.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,095.71 : 48,139.92 = 8,716.68 : x
  2. Step 2: Convert to fraction form
    32,095.71/48,139.92 = 8,716.68/x
  3. Step 3: Cross multiply
    32,095.71x = 48,139.92 × 8,716.68
  4. Step 4: Simplify right side
    32,095.71x = 419,620,277.87
  5. Step 5: Solve for x
    x = 419,620,277.87/32,095.71
  6. Step 6: Final answer
    x = 13,074.03

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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.