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Finding the Fourth Proportional to 32,033.78, 48,052.09 and 9,848.08

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Solution

The fourth proportional to 32,033.78, 48,052.09 and 9,848.08 is: 14,772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,033.78 : 48,052.09 = 9,848.08 : x
  2. Step 2: Convert to fraction form
    32,033.78/48,052.09 = 9,848.08/x
  3. Step 3: Cross multiply
    32,033.78x = 48,052.09 × 9,848.08
  4. Step 4: Simplify right side
    32,033.78x = 473,220,843.47
  5. Step 5: Solve for x
    x = 473,220,843.47/32,033.78
  6. Step 6: Final answer
    x = 14,772.56

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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.