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Finding the Fourth Proportional to 59,806.68, 82,532.84 and 32,948.57

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Solution

The fourth proportional to 59,806.68, 82,532.84 and 32,948.57 is: 45,468.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,806.68 : 82,532.84 = 32,948.57 : x
  2. Step 2: Convert to fraction form
    59,806.68/82,532.84 = 32,948.57/x
  3. Step 3: Cross multiply
    59,806.68x = 82,532.84 × 32,948.57
  4. Step 4: Simplify right side
    59,806.68x = 2,719,338,478.63
  5. Step 5: Solve for x
    x = 2,719,338,478.63/59,806.68
  6. Step 6: Final answer
    x = 45,468.81

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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.