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Finding the Fourth Proportional to 98,752.82, 148,144.58 and 32,177.44

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Solution

The fourth proportional to 98,752.82, 148,144.58 and 32,177.44 is: 48,271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,752.82 : 148,144.58 = 32,177.44 : x
  2. Step 2: Convert to fraction form
    98,752.82/148,144.58 = 32,177.44/x
  3. Step 3: Cross multiply
    98,752.82x = 148,144.58 × 32,177.44
  4. Step 4: Simplify right side
    98,752.82x = 4,766,913,334.28
  5. Step 5: Solve for x
    x = 4,766,913,334.28/98,752.82
  6. Step 6: Final answer
    x = 48,271.16

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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.