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Finding the Fourth Proportional to 45,603, 62,932.14 and 25,731

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Solution

The fourth proportional to 45,603, 62,932.14 and 25,731 is: 35,508.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,603 : 62,932.14 = 25,731 : x
  2. Step 2: Convert to fraction form
    45,603/62,932.14 = 25,731/x
  3. Step 3: Cross multiply
    45,603x = 62,932.14 × 25,731
  4. Step 4: Simplify right side
    45,603x = 1,619,306,894.34
  5. Step 5: Solve for x
    x = 1,619,306,894.34/45,603
  6. Step 6: Final answer
    x = 35,508.78

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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.