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Finding the Fourth Proportional to 97,383.85, 146,097.66 and 30,827.97

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Solution

The fourth proportional to 97,383.85, 146,097.66 and 30,827.97 is: 46,248.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,383.85 : 146,097.66 = 30,827.97 : x
  2. Step 2: Convert to fraction form
    97,383.85/146,097.66 = 30,827.97/x
  3. Step 3: Cross multiply
    97,383.85x = 146,097.66 × 30,827.97
  4. Step 4: Simplify right side
    97,383.85x = 4,503,894,279.55
  5. Step 5: Solve for x
    x = 4,503,894,279.55/97,383.85
  6. Step 6: Final answer
    x = 46,248.88

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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.