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Finding the Fourth Proportional to 99,782, 149,697.66 and 29,661.02

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Solution

The fourth proportional to 99,782, 149,697.66 and 29,661.02 is: 44,498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,782 : 149,697.66 = 29,661.02 : x
  2. Step 2: Convert to fraction form
    99,782/149,697.66 = 29,661.02/x
  3. Step 3: Cross multiply
    99,782x = 149,697.66 × 29,661.02
  4. Step 4: Simplify right side
    99,782x = 4,440,185,287.21
  5. Step 5: Solve for x
    x = 4,440,185,287.21/99,782
  6. Step 6: Final answer
    x = 44,498.86

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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.