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Finding the Fourth Proportional to 33,008.34, 49,509 and 9,315.30

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Solution

The fourth proportional to 33,008.34, 49,509 and 9,315.30 is: 13,971.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,008.34 : 49,509 = 9,315.30 : x
  2. Step 2: Convert to fraction form
    33,008.34/49,509 = 9,315.30/x
  3. Step 3: Cross multiply
    33,008.34x = 49,509 × 9,315.30
  4. Step 4: Simplify right side
    33,008.34x = 461,191,187.70
  5. Step 5: Solve for x
    x = 461,191,187.70/33,008.34
  6. Step 6: Final answer
    x = 13,971.96

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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.