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Finding the Fourth Proportional to 99,642.90, 149,467.11 and 24,760.02

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Solution

The fourth proportional to 99,642.90, 149,467.11 and 24,760.02 is: 37,140.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,642.90 : 149,467.11 = 24,760.02 : x
  2. Step 2: Convert to fraction form
    99,642.90/149,467.11 = 24,760.02/x
  3. Step 3: Cross multiply
    99,642.90x = 149,467.11 × 24,760.02
  4. Step 4: Simplify right side
    99,642.90x = 3,700,808,632.94
  5. Step 5: Solve for x
    x = 3,700,808,632.94/99,642.90
  6. Step 6: Final answer
    x = 37,140.72

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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.