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Finding the Fourth Proportional to 33,006.34, 49,506 and 9,313.30

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Solution

The fourth proportional to 33,006.34, 49,506 and 9,313.30 is: 13,968.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,006.34 : 49,506 = 9,313.30 : x
  2. Step 2: Convert to fraction form
    33,006.34/49,506 = 9,313.30/x
  3. Step 3: Cross multiply
    33,006.34x = 49,506 × 9,313.30
  4. Step 4: Simplify right side
    33,006.34x = 461,064,229.80
  5. Step 5: Solve for x
    x = 461,064,229.80/33,006.34
  6. Step 6: Final answer
    x = 13,968.96

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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.