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Finding the Fourth Proportional to 35,737.96, 49,318.06 and 19,822.44

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Solution

The fourth proportional to 35,737.96, 49,318.06 and 19,822.44 is: 27,354.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,737.96 : 49,318.06 = 19,822.44 : x
  2. Step 2: Convert to fraction form
    35,737.96/49,318.06 = 19,822.44/x
  3. Step 3: Cross multiply
    35,737.96x = 49,318.06 × 19,822.44
  4. Step 4: Simplify right side
    35,737.96x = 977,604,285.27
  5. Step 5: Solve for x
    x = 977,604,285.27/35,737.96
  6. Step 6: Final answer
    x = 27,354.79

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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.