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Finding the Fourth Proportional to 33,783, 50,427.13 and 29,792.86

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Solution

The fourth proportional to 33,783, 50,427.13 and 29,792.86 is: 44,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,783 : 50,427.13 = 29,792.86 : x
  2. Step 2: Convert to fraction form
    33,783/50,427.13 = 29,792.86/x
  3. Step 3: Cross multiply
    33,783x = 50,427.13 × 29,792.86
  4. Step 4: Simplify right side
    33,783x = 1,502,368,424.29
  5. Step 5: Solve for x
    x = 1,502,368,424.29/33,783
  6. Step 6: Final answer
    x = 44,471.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.