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Finding the Fourth Proportional to 33,120, 49,670.28 and 9,740.88

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Solution

The fourth proportional to 33,120, 49,670.28 and 9,740.88 is: 14,608.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,120 : 49,670.28 = 9,740.88 : x
  2. Step 2: Convert to fraction form
    33,120/49,670.28 = 9,740.88/x
  3. Step 3: Cross multiply
    33,120x = 49,670.28 × 9,740.88
  4. Step 4: Simplify right side
    33,120x = 483,832,237.05
  5. Step 5: Solve for x
    x = 483,832,237.05/33,120
  6. Step 6: Final answer
    x = 14,608.46

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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.