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Finding the Fourth Proportional to 96,469.76, 144,696.30 and 29,908.40

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Solution

The fourth proportional to 96,469.76, 144,696.30 and 29,908.40 is: 44,860.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,469.76 : 144,696.30 = 29,908.40 : x
  2. Step 2: Convert to fraction form
    96,469.76/144,696.30 = 29,908.40/x
  3. Step 3: Cross multiply
    96,469.76x = 144,696.30 × 29,908.40
  4. Step 4: Simplify right side
    96,469.76x = 4,327,634,818.92
  5. Step 5: Solve for x
    x = 4,327,634,818.92/96,469.76
  6. Step 6: Final answer
    x = 44,860.01

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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.