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Finding the Fourth Proportional to 45,463, 62,747.64 and 25,591

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Solution

The fourth proportional to 45,463, 62,747.64 and 25,591 is: 35,320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,463 : 62,747.64 = 25,591 : x
  2. Step 2: Convert to fraction form
    45,463/62,747.64 = 25,591/x
  3. Step 3: Cross multiply
    45,463x = 62,747.64 × 25,591
  4. Step 4: Simplify right side
    45,463x = 1,605,774,855.24
  5. Step 5: Solve for x
    x = 1,605,774,855.24/45,463
  6. Step 6: Final answer
    x = 35,320.48

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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.