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Finding the Fourth Proportional to 99,502.84, 149,273.95 and 28,426.09

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Solution

The fourth proportional to 99,502.84, 149,273.95 and 28,426.09 is: 42,644.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,502.84 : 149,273.95 = 28,426.09 : x
  2. Step 2: Convert to fraction form
    99,502.84/149,273.95 = 28,426.09/x
  3. Step 3: Cross multiply
    99,502.84x = 149,273.95 × 28,426.09
  4. Step 4: Simplify right side
    99,502.84x = 4,243,274,399.70
  5. Step 5: Solve for x
    x = 4,243,274,399.70/99,502.84
  6. Step 6: Final answer
    x = 42,644.76

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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.