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Finding the Fourth Proportional to 98,989.57, 148,492.86 and 32,429.44

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Solution

The fourth proportional to 98,989.57, 148,492.86 and 32,429.44 is: 48,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,989.57 : 148,492.86 = 32,429.44 : x
  2. Step 2: Convert to fraction form
    98,989.57/148,492.86 = 32,429.44/x
  3. Step 3: Cross multiply
    98,989.57x = 148,492.86 × 32,429.44
  4. Step 4: Simplify right side
    98,989.57x = 4,815,540,293.80
  5. Step 5: Solve for x
    x = 4,815,540,293.80/98,989.57
  6. Step 6: Final answer
    x = 48,646.95

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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.