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Finding the Fourth Proportional to 98,750.82, 148,141.62 and 32,175.48

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Solution

The fourth proportional to 98,750.82, 148,141.62 and 32,175.48 is: 48,268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,750.82 : 148,141.62 = 32,175.48 : x
  2. Step 2: Convert to fraction form
    98,750.82/148,141.62 = 32,175.48/x
  3. Step 3: Cross multiply
    98,750.82x = 148,141.62 × 32,175.48
  4. Step 4: Simplify right side
    98,750.82x = 4,766,527,731.48
  5. Step 5: Solve for x
    x = 4,766,527,731.48/98,750.82
  6. Step 6: Final answer
    x = 48,268.23

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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.