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Finding the Fourth Proportional to 33,085.69, 49,628.54 and 9,712.13

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Solution

The fourth proportional to 33,085.69, 49,628.54 and 9,712.13 is: 14,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,085.69 : 49,628.54 = 9,712.13 : x
  2. Step 2: Convert to fraction form
    33,085.69/49,628.54 = 9,712.13/x
  3. Step 3: Cross multiply
    33,085.69x = 49,628.54 × 9,712.13
  4. Step 4: Simplify right side
    33,085.69x = 481,998,832.19
  5. Step 5: Solve for x
    x = 481,998,832.19/33,085.69
  6. Step 6: Final answer
    x = 14,568.20

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1.5x scale

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.