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Finding the Fourth Proportional to 35,491.20, 48,977.75 and 20,384.84

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Solution

The fourth proportional to 35,491.20, 48,977.75 and 20,384.84 is: 28,131.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,491.20 : 48,977.75 = 20,384.84 : x
  2. Step 2: Convert to fraction form
    35,491.20/48,977.75 = 20,384.84/x
  3. Step 3: Cross multiply
    35,491.20x = 48,977.75 × 20,384.84
  4. Step 4: Simplify right side
    35,491.20x = 998,403,403.38
  5. Step 5: Solve for x
    x = 998,403,403.38/35,491.20
  6. Step 6: Final answer
    x = 28,131.01

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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.