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Finding the Fourth Proportional to 33,085.84, 49,636.92 and 9,712.28

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Solution

The fourth proportional to 33,085.84, 49,636.92 and 9,712.28 is: 14,570.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,085.84 : 49,636.92 = 9,712.28 : x
  2. Step 2: Convert to fraction form
    33,085.84/49,636.92 = 9,712.28/x
  3. Step 3: Cross multiply
    33,085.84x = 49,636.92 × 9,712.28
  4. Step 4: Simplify right side
    33,085.84x = 482,087,665.38
  5. Step 5: Solve for x
    x = 482,087,665.38/33,085.84
  6. Step 6: Final answer
    x = 14,570.82

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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.