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Finding the Fourth Proportional to 45,856, 63,282.24 and 25,984

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Solution

The fourth proportional to 45,856, 63,282.24 and 25,984 is: 35,858.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,856 : 63,282.24 = 25,984 : x
  2. Step 2: Convert to fraction form
    45,856/63,282.24 = 25,984/x
  3. Step 3: Cross multiply
    45,856x = 63,282.24 × 25,984
  4. Step 4: Simplify right side
    45,856x = 1,644,325,724.16
  5. Step 5: Solve for x
    x = 1,644,325,724.16/45,856
  6. Step 6: Final answer
    x = 35,858.46

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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.