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Finding the Fourth Proportional to 99,762.32, 149,668.38 and 29,641.64

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Solution

The fourth proportional to 99,762.32, 149,668.38 and 29,641.64 is: 44,469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,762.32 : 149,668.38 = 29,641.64 : x
  2. Step 2: Convert to fraction form
    99,762.32/149,668.38 = 29,641.64/x
  3. Step 3: Cross multiply
    99,762.32x = 149,668.38 × 29,641.64
  4. Step 4: Simplify right side
    99,762.32x = 4,436,415,491.00
  5. Step 5: Solve for x
    x = 4,436,415,491.00/99,762.32
  6. Step 6: Final answer
    x = 44,469.85

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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.