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Finding the Fourth Proportional to 39,536.48, 59,295.84 and 11,456.48

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Solution

The fourth proportional to 39,536.48, 59,295.84 and 11,456.48 is: 17,182.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,536.48 : 59,295.84 = 11,456.48 : x
  2. Step 2: Convert to fraction form
    39,536.48/59,295.84 = 11,456.48/x
  3. Step 3: Cross multiply
    39,536.48x = 59,295.84 × 11,456.48
  4. Step 4: Simplify right side
    39,536.48x = 679,321,605.04
  5. Step 5: Solve for x
    x = 679,321,605.04/39,536.48
  6. Step 6: Final answer
    x = 17,182.15

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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.