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Finding the Fourth Proportional to 39,832.80, 59,690.52 and 22,308

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Solution

The fourth proportional to 39,832.80, 59,690.52 and 22,308 is: 33,429.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,832.80 : 59,690.52 = 22,308 : x
  2. Step 2: Convert to fraction form
    39,832.80/59,690.52 = 22,308/x
  3. Step 3: Cross multiply
    39,832.80x = 59,690.52 × 22,308
  4. Step 4: Simplify right side
    39,832.80x = 1,331,576,120.16
  5. Step 5: Solve for x
    x = 1,331,576,120.16/39,832.80
  6. Step 6: Final answer
    x = 33,429.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.