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Finding the Fourth Proportional to 98,843, 148,248.80 and 32,282.58

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Solution

The fourth proportional to 98,843, 148,248.80 and 32,282.58 is: 48,418.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,843 : 148,248.80 = 32,282.58 : x
  2. Step 2: Convert to fraction form
    98,843/148,248.80 = 32,282.58/x
  3. Step 3: Cross multiply
    98,843x = 148,248.80 × 32,282.58
  4. Step 4: Simplify right side
    98,843x = 4,785,853,745.90
  5. Step 5: Solve for x
    x = 4,785,853,745.90/98,843
  6. Step 6: Final answer
    x = 48,418.74

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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.