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Finding the Fourth Proportional to 59,833.38, 82,569.63 and 32,977.02

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Solution

The fourth proportional to 59,833.38, 82,569.63 and 32,977.02 is: 45,508.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,833.38 : 82,569.63 = 32,977.02 : x
  2. Step 2: Convert to fraction form
    59,833.38/82,569.63 = 32,977.02/x
  3. Step 3: Cross multiply
    59,833.38x = 82,569.63 × 32,977.02
  4. Step 4: Simplify right side
    59,833.38x = 2,722,900,339.90
  5. Step 5: Solve for x
    x = 2,722,900,339.90/59,833.38
  6. Step 6: Final answer
    x = 45,508.05

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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.