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Finding the Fourth Proportional to 32,282.88, 48,434.04 and 11,508

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Solution

The fourth proportional to 32,282.88, 48,434.04 and 11,508 is: 17,265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,282.88 : 48,434.04 = 11,508 : x
  2. Step 2: Convert to fraction form
    32,282.88/48,434.04 = 11,508/x
  3. Step 3: Cross multiply
    32,282.88x = 48,434.04 × 11,508
  4. Step 4: Simplify right side
    32,282.88x = 557,378,932.32
  5. Step 5: Solve for x
    x = 557,378,932.32/32,282.88
  6. Step 6: Final answer
    x = 17,265.46

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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.