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Finding the Fourth Proportional to 99,926.84, 149,904.84 and 33,354.56

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Solution

The fourth proportional to 99,926.84, 149,904.84 and 33,354.56 is: 50,036.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,926.84 : 149,904.84 = 33,354.56 : x
  2. Step 2: Convert to fraction form
    99,926.84/149,904.84 = 33,354.56/x
  3. Step 3: Cross multiply
    99,926.84x = 149,904.84 × 33,354.56
  4. Step 4: Simplify right side
    99,926.84x = 5,000,009,980.07
  5. Step 5: Solve for x
    x = 5,000,009,980.07/99,926.84
  6. Step 6: Final answer
    x = 50,036.71

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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.