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Finding the Fourth Proportional to 97,308.30, 145,874.60 and 34,964.22

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Solution

The fourth proportional to 97,308.30, 145,874.60 and 34,964.22 is: 52,414.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,308.30 : 145,874.60 = 34,964.22 : x
  2. Step 2: Convert to fraction form
    97,308.30/145,874.60 = 34,964.22/x
  3. Step 3: Cross multiply
    97,308.30x = 145,874.60 × 34,964.22
  4. Step 4: Simplify right side
    97,308.30x = 5,100,391,606.81
  5. Step 5: Solve for x
    x = 5,100,391,606.81/97,308.30
  6. Step 6: Final answer
    x = 52,414.76

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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.