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Finding the Fourth Proportional to 100,700.66, 151,029.70 and 29,604

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Solution

The fourth proportional to 100,700.66, 151,029.70 and 29,604 is: 44,399.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,700.66 : 151,029.70 = 29,604 : x
  2. Step 2: Convert to fraction form
    100,700.66/151,029.70 = 29,604/x
  3. Step 3: Cross multiply
    100,700.66x = 151,029.70 × 29,604
  4. Step 4: Simplify right side
    100,700.66x = 4,471,083,238.80
  5. Step 5: Solve for x
    x = 4,471,083,238.80/100,700.66
  6. Step 6: Final answer
    x = 44,399.74

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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.