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Finding the Fourth Proportional to 35,612, 49,142.64 and 19,695.52

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Solution

The fourth proportional to 35,612, 49,142.64 and 19,695.52 is: 27,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,612 : 49,142.64 = 19,695.52 : x
  2. Step 2: Convert to fraction form
    35,612/49,142.64 = 19,695.52/x
  3. Step 3: Cross multiply
    35,612x = 49,142.64 × 19,695.52
  4. Step 4: Simplify right side
    35,612x = 967,889,848.97
  5. Step 5: Solve for x
    x = 967,889,848.97/35,612
  6. Step 6: Final answer
    x = 27,178.76

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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.