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Finding the Fourth Proportional to 32,987.52, 49,491 and 19,855.80

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Solution

The fourth proportional to 32,987.52, 49,491 and 19,855.80 is: 29,789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,987.52 : 49,491 = 19,855.80 : x
  2. Step 2: Convert to fraction form
    32,987.52/49,491 = 19,855.80/x
  3. Step 3: Cross multiply
    32,987.52x = 49,491 × 19,855.80
  4. Step 4: Simplify right side
    32,987.52x = 982,683,397.80
  5. Step 5: Solve for x
    x = 982,683,397.80/32,987.52
  6. Step 6: Final answer
    x = 29,789.55

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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.