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Finding the Fourth Proportional to 59,513.76, 82,132.70 and 32,656.32

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Solution

The fourth proportional to 59,513.76, 82,132.70 and 32,656.32 is: 45,067.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,513.76 : 82,132.70 = 32,656.32 : x
  2. Step 2: Convert to fraction form
    59,513.76/82,132.70 = 32,656.32/x
  3. Step 3: Cross multiply
    59,513.76x = 82,132.70 × 32,656.32
  4. Step 4: Simplify right side
    59,513.76x = 2,682,151,570.38
  5. Step 5: Solve for x
    x = 2,682,151,570.38/59,513.76
  6. Step 6: Final answer
    x = 45,067.76

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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.