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Finding the Fourth Proportional to 33,057.61, 49,586.43 and 9,684.07

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Solution

The fourth proportional to 33,057.61, 49,586.43 and 9,684.07 is: 14,526.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,057.61 : 49,586.43 = 9,684.07 : x
  2. Step 2: Convert to fraction form
    33,057.61/49,586.43 = 9,684.07/x
  3. Step 3: Cross multiply
    33,057.61x = 49,586.43 × 9,684.07
  4. Step 4: Simplify right side
    33,057.61x = 480,198,459.17
  5. Step 5: Solve for x
    x = 480,198,459.17/33,057.61
  6. Step 6: Final answer
    x = 14,526.11

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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.