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Finding the Fourth Proportional to 45,418, 62,685.48 and 25,546

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Solution

The fourth proportional to 45,418, 62,685.48 and 25,546 is: 35,258.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,418 : 62,685.48 = 25,546 : x
  2. Step 2: Convert to fraction form
    45,418/62,685.48 = 25,546/x
  3. Step 3: Cross multiply
    45,418x = 62,685.48 × 25,546
  4. Step 4: Simplify right side
    45,418x = 1,601,363,272.08
  5. Step 5: Solve for x
    x = 1,601,363,272.08/45,418
  6. Step 6: Final answer
    x = 35,258.34

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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.