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Finding the Fourth Proportional to 35,600, 49,127.02 and 19,684.04

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Solution

The fourth proportional to 35,600, 49,127.02 and 19,684.04 is: 27,163.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,600 : 49,127.02 = 19,684.04 : x
  2. Step 2: Convert to fraction form
    35,600/49,127.02 = 19,684.04/x
  3. Step 3: Cross multiply
    35,600x = 49,127.02 × 19,684.04
  4. Step 4: Simplify right side
    35,600x = 967,018,226.76
  5. Step 5: Solve for x
    x = 967,018,226.76/35,600
  6. Step 6: Final answer
    x = 27,163.43

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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.