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Finding the Fourth Proportional to 98,983.78, 148,444.41 and 32,408.61

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Solution

The fourth proportional to 98,983.78, 148,444.41 and 32,408.61 is: 48,602.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,983.78 : 148,444.41 = 32,408.61 : x
  2. Step 2: Convert to fraction form
    98,983.78/148,444.41 = 32,408.61/x
  3. Step 3: Cross multiply
    98,983.78x = 148,444.41 × 32,408.61
  4. Step 4: Simplify right side
    98,983.78x = 4,810,876,990.37
  5. Step 5: Solve for x
    x = 4,810,876,990.37/98,983.78
  6. Step 6: Final answer
    x = 48,602.68

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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.