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Finding the Fourth Proportional to 55,843.77, 77,082.38 and 35,754.76

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Solution

The fourth proportional to 55,843.77, 77,082.38 and 35,754.76 is: 49,353.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,843.77 : 77,082.38 = 35,754.76 : x
  2. Step 2: Convert to fraction form
    55,843.77/77,082.38 = 35,754.76/x
  3. Step 3: Cross multiply
    55,843.77x = 77,082.38 × 35,754.76
  4. Step 4: Simplify right side
    55,843.77x = 2,756,061,997.13
  5. Step 5: Solve for x
    x = 2,756,061,997.13/55,843.77
  6. Step 6: Final answer
    x = 49,353.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.