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Finding the Fourth Proportional to 97,851.97, 146,731.68 and 37,908.52

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Solution

The fourth proportional to 97,851.97, 146,731.68 and 37,908.52 is: 56,844.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,851.97 : 146,731.68 = 37,908.52 : x
  2. Step 2: Convert to fraction form
    97,851.97/146,731.68 = 37,908.52/x
  3. Step 3: Cross multiply
    97,851.97x = 146,731.68 × 37,908.52
  4. Step 4: Simplify right side
    97,851.97x = 5,562,379,902.71
  5. Step 5: Solve for x
    x = 5,562,379,902.71/97,851.97
  6. Step 6: Final answer
    x = 56,844.85

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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.