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Finding the Fourth Proportional to 29,987.52, 44,982 and 10,266

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Solution

The fourth proportional to 29,987.52, 44,982 and 10,266 is: 15,399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,987.52 : 44,982 = 10,266 : x
  2. Step 2: Convert to fraction form
    29,987.52/44,982 = 10,266/x
  3. Step 3: Cross multiply
    29,987.52x = 44,982 × 10,266
  4. Step 4: Simplify right side
    29,987.52x = 461,785,212
  5. Step 5: Solve for x
    x = 461,785,212/29,987.52
  6. Step 6: Final answer
    x = 15,399.25

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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.