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Finding the Fourth Proportional to 97,407.74, 146,023.88 and 35,034.38

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Solution

The fourth proportional to 97,407.74, 146,023.88 and 35,034.38 is: 52,520.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,407.74 : 146,023.88 = 35,034.38 : x
  2. Step 2: Convert to fraction form
    97,407.74/146,023.88 = 35,034.38/x
  3. Step 3: Cross multiply
    97,407.74x = 146,023.88 × 35,034.38
  4. Step 4: Simplify right side
    97,407.74x = 5,115,856,100.99
  5. Step 5: Solve for x
    x = 5,115,856,100.99/97,407.74
  6. Step 6: Final answer
    x = 52,520.02

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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.