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Finding the Fourth Proportional to 35,761.34, 49,339.24 and 20,652

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Solution

The fourth proportional to 35,761.34, 49,339.24 and 20,652 is: 28,493.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,761.34 : 49,339.24 = 20,652 : x
  2. Step 2: Convert to fraction form
    35,761.34/49,339.24 = 20,652/x
  3. Step 3: Cross multiply
    35,761.34x = 49,339.24 × 20,652
  4. Step 4: Simplify right side
    35,761.34x = 1,018,953,932.85
  5. Step 5: Solve for x
    x = 1,018,953,932.85/35,761.34
  6. Step 6: Final answer
    x = 28,493.17

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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.