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Finding the Fourth Proportional to 97,679.60, 146,513.10 and 31,167.62

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Solution

The fourth proportional to 97,679.60, 146,513.10 and 31,167.62 is: 46,749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,679.60 : 146,513.10 = 31,167.62 : x
  2. Step 2: Convert to fraction form
    97,679.60/146,513.10 = 31,167.62/x
  3. Step 3: Cross multiply
    97,679.60x = 146,513.10 × 31,167.62
  4. Step 4: Simplify right side
    97,679.60x = 4,566,464,625.82
  5. Step 5: Solve for x
    x = 4,566,464,625.82/97,679.60
  6. Step 6: Final answer
    x = 46,749.42

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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.