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Finding the Fourth Proportional to 35,656.98, 49,203 and 19,737.24

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Solution

The fourth proportional to 35,656.98, 49,203 and 19,737.24 is: 27,235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,656.98 : 49,203 = 19,737.24 : x
  2. Step 2: Convert to fraction form
    35,656.98/49,203 = 19,737.24/x
  3. Step 3: Cross multiply
    35,656.98x = 49,203 × 19,737.24
  4. Step 4: Simplify right side
    35,656.98x = 971,131,419.72
  5. Step 5: Solve for x
    x = 971,131,419.72/35,656.98
  6. Step 6: Final answer
    x = 27,235.38

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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.