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Finding the Fourth Proportional to 98,813, 148,243.62 and 32,256.20

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Solution

The fourth proportional to 98,813, 148,243.62 and 32,256.20 is: 48,392.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,813 : 148,243.62 = 32,256.20 : x
  2. Step 2: Convert to fraction form
    98,813/148,243.62 = 32,256.20/x
  3. Step 3: Cross multiply
    98,813x = 148,243.62 × 32,256.20
  4. Step 4: Simplify right side
    98,813x = 4,781,775,855.44
  5. Step 5: Solve for x
    x = 4,781,775,855.44/98,813
  6. Step 6: Final answer
    x = 48,392.17

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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.