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Finding the Fourth Proportional to 97,469.64, 146,209.68 and 30,914.82

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Solution

The fourth proportional to 97,469.64, 146,209.68 and 30,914.82 is: 46,373.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,469.64 : 146,209.68 = 30,914.82 : x
  2. Step 2: Convert to fraction form
    97,469.64/146,209.68 = 30,914.82/x
  3. Step 3: Cross multiply
    97,469.64x = 146,209.68 × 30,914.82
  4. Step 4: Simplify right side
    97,469.64x = 4,520,045,939.46
  5. Step 5: Solve for x
    x = 4,520,045,939.46/97,469.64
  6. Step 6: Final answer
    x = 46,373.89

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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.