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Finding the Fourth Proportional to 35,847.62, 49,462.62 and 21,701.78

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Solution

The fourth proportional to 35,847.62, 49,462.62 and 21,701.78 is: 29,944.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,847.62 : 49,462.62 = 21,701.78 : x
  2. Step 2: Convert to fraction form
    35,847.62/49,462.62 = 21,701.78/x
  3. Step 3: Cross multiply
    35,847.62x = 49,462.62 × 21,701.78
  4. Step 4: Simplify right side
    35,847.62x = 1,073,426,897.46
  5. Step 5: Solve for x
    x = 1,073,426,897.46/35,847.62
  6. Step 6: Final answer
    x = 29,944.16

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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.