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Finding the Fourth Proportional to 99,833.58, 149,709.06 and 40,629.06

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Solution

The fourth proportional to 99,833.58, 149,709.06 and 40,629.06 is: 60,926.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,833.58 : 149,709.06 = 40,629.06 : x
  2. Step 2: Convert to fraction form
    99,833.58/149,709.06 = 40,629.06/x
  3. Step 3: Cross multiply
    99,833.58x = 149,709.06 × 40,629.06
  4. Step 4: Simplify right side
    99,833.58x = 6,082,538,381.28
  5. Step 5: Solve for x
    x = 6,082,538,381.28/99,833.58
  6. Step 6: Final answer
    x = 60,926.78

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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.