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Finding the Fourth Proportional to 35,771.41, 49,377.80 and 30,715.33

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Solution

The fourth proportional to 35,771.41, 49,377.80 and 30,715.33 is: 42,398.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,771.41 : 49,377.80 = 30,715.33 : x
  2. Step 2: Convert to fraction form
    35,771.41/49,377.80 = 30,715.33/x
  3. Step 3: Cross multiply
    35,771.41x = 49,377.80 × 30,715.33
  4. Step 4: Simplify right side
    35,771.41x = 1,516,655,021.21
  5. Step 5: Solve for x
    x = 1,516,655,021.21/35,771.41
  6. Step 6: Final answer
    x = 42,398.53

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