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Finding the Fourth Proportional to 45,775, 63,170.48 and 25,903

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Solution

The fourth proportional to 45,775, 63,170.48 and 25,903 is: 35,746.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,775 : 63,170.48 = 25,903 : x
  2. Step 2: Convert to fraction form
    45,775/63,170.48 = 25,903/x
  3. Step 3: Cross multiply
    45,775x = 63,170.48 × 25,903
  4. Step 4: Simplify right side
    45,775x = 1,636,304,943.44
  5. Step 5: Solve for x
    x = 1,636,304,943.44/45,775
  6. Step 6: Final answer
    x = 35,746.69

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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.