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Finding the Fourth Proportional to 35,902.66, 49,544.07 and 20,578.22

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Solution

The fourth proportional to 35,902.66, 49,544.07 and 20,578.22 is: 28,397.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,902.66 : 49,544.07 = 20,578.22 : x
  2. Step 2: Convert to fraction form
    35,902.66/49,544.07 = 20,578.22/x
  3. Step 3: Cross multiply
    35,902.66x = 49,544.07 × 20,578.22
  4. Step 4: Simplify right side
    35,902.66x = 1,019,528,614.95
  5. Step 5: Solve for x
    x = 1,019,528,614.95/35,902.66
  6. Step 6: Final answer
    x = 28,397.03

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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.