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Finding the Fourth Proportional to 96,678, 145,023.98 and 40,461.54

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Solution

The fourth proportional to 96,678, 145,023.98 and 40,461.54 is: 60,695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,678 : 145,023.98 = 40,461.54 : x
  2. Step 2: Convert to fraction form
    96,678/145,023.98 = 40,461.54/x
  3. Step 3: Cross multiply
    96,678x = 145,023.98 × 40,461.54
  4. Step 4: Simplify right side
    96,678x = 5,867,893,668.88
  5. Step 5: Solve for x
    x = 5,867,893,668.88/96,678
  6. Step 6: Final answer
    x = 60,695.23

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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.