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Finding the Fourth Proportional to 59,806.64, 82,532.74 and 32,948.52

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Solution

The fourth proportional to 59,806.64, 82,532.74 and 32,948.52 is: 45,468.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,806.64 : 82,532.74 = 32,948.52 : x
  2. Step 2: Convert to fraction form
    59,806.64/82,532.74 = 32,948.52/x
  3. Step 3: Cross multiply
    59,806.64x = 82,532.74 × 32,948.52
  4. Step 4: Simplify right side
    59,806.64x = 2,719,331,634.54
  5. Step 5: Solve for x
    x = 2,719,331,634.54/59,806.64
  6. Step 6: Final answer
    x = 45,468.72

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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.