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Finding the Fourth Proportional to 59,806.74, 82,532.92 and 32,948.63

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Solution

The fourth proportional to 59,806.74, 82,532.92 and 32,948.63 is: 45,468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,806.74 : 82,532.92 = 32,948.63 : x
  2. Step 2: Convert to fraction form
    59,806.74/82,532.92 = 32,948.63/x
  3. Step 3: Cross multiply
    59,806.74x = 82,532.92 × 32,948.63
  4. Step 4: Simplify right side
    59,806.74x = 2,719,346,643.90
  5. Step 5: Solve for x
    x = 2,719,346,643.90/59,806.74
  6. Step 6: Final answer
    x = 45,468.90

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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.