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Finding the Fourth Proportional to 99,871.18, 149,807.16 and 24,991.11

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Solution

The fourth proportional to 99,871.18, 149,807.16 and 24,991.11 is: 37,486.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,871.18 : 149,807.16 = 24,991.11 : x
  2. Step 2: Convert to fraction form
    99,871.18/149,807.16 = 24,991.11/x
  3. Step 3: Cross multiply
    99,871.18x = 149,807.16 × 24,991.11
  4. Step 4: Simplify right side
    99,871.18x = 3,743,846,340.36
  5. Step 5: Solve for x
    x = 3,743,846,340.36/99,871.18
  6. Step 6: Final answer
    x = 37,486.76

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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.