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Finding the Fourth Proportional to 97,372.83, 146,042.49 and 27,235.47

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Solution

The fourth proportional to 97,372.83, 146,042.49 and 27,235.47 is: 40,848.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,372.83 : 146,042.49 = 27,235.47 : x
  2. Step 2: Convert to fraction form
    97,372.83/146,042.49 = 27,235.47/x
  3. Step 3: Cross multiply
    97,372.83x = 146,042.49 × 27,235.47
  4. Step 4: Simplify right side
    97,372.83x = 3,977,535,855.12
  5. Step 5: Solve for x
    x = 3,977,535,855.12/97,372.83
  6. Step 6: Final answer
    x = 40,848.52

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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.