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Finding the Fourth Proportional to 99,862.32, 149,813.10 and 33,301.56

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Solution

The fourth proportional to 99,862.32, 149,813.10 and 33,301.56 is: 49,958.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,862.32 : 149,813.10 = 33,301.56 : x
  2. Step 2: Convert to fraction form
    99,862.32/149,813.10 = 33,301.56/x
  3. Step 3: Cross multiply
    99,862.32x = 149,813.10 × 33,301.56
  4. Step 4: Simplify right side
    99,862.32x = 4,989,009,938.44
  5. Step 5: Solve for x
    x = 4,989,009,938.44/99,862.32
  6. Step 6: Final answer
    x = 49,958.88

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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.