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Finding the Fourth Proportional to 35,676.95, 49,234.17 and 19,762.41

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Solution

The fourth proportional to 35,676.95, 49,234.17 and 19,762.41 is: 27,272.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,676.95 : 49,234.17 = 19,762.41 : x
  2. Step 2: Convert to fraction form
    35,676.95/49,234.17 = 19,762.41/x
  3. Step 3: Cross multiply
    35,676.95x = 49,234.17 × 19,762.41
  4. Step 4: Simplify right side
    35,676.95x = 972,985,853.55
  5. Step 5: Solve for x
    x = 972,985,853.55/35,676.95
  6. Step 6: Final answer
    x = 27,272.12

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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.