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Finding the Fourth Proportional to 45,834, 63,253.41 and 25,697.34

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Solution

The fourth proportional to 45,834, 63,253.41 and 25,697.34 is: 35,463.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,834 : 63,253.41 = 25,697.34 : x
  2. Step 2: Convert to fraction form
    45,834/63,253.41 = 25,697.34/x
  3. Step 3: Cross multiply
    45,834x = 63,253.41 × 25,697.34
  4. Step 4: Simplify right side
    45,834x = 1,625,444,382.93
  5. Step 5: Solve for x
    x = 1,625,444,382.93/45,834
  6. Step 6: Final answer
    x = 35,463.73

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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.