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Finding the Fourth Proportional to 96,066, 144,103.12 and 29,508.80

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Solution

The fourth proportional to 96,066, 144,103.12 and 29,508.80 is: 44,264.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,066 : 144,103.12 = 29,508.80 : x
  2. Step 2: Convert to fraction form
    96,066/144,103.12 = 29,508.80/x
  3. Step 3: Cross multiply
    96,066x = 144,103.12 × 29,508.80
  4. Step 4: Simplify right side
    96,066x = 4,252,310,147.46
  5. Step 5: Solve for x
    x = 4,252,310,147.46/96,066
  6. Step 6: Final answer
    x = 44,264.47

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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.