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Finding the Fourth Proportional to 45,586, 62,908.76 and 25,714

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Solution

The fourth proportional to 45,586, 62,908.76 and 25,714 is: 35,485.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,586 : 62,908.76 = 25,714 : x
  2. Step 2: Convert to fraction form
    45,586/62,908.76 = 25,714/x
  3. Step 3: Cross multiply
    45,586x = 62,908.76 × 25,714
  4. Step 4: Simplify right side
    45,586x = 1,617,635,854.64
  5. Step 5: Solve for x
    x = 1,617,635,854.64/45,586
  6. Step 6: Final answer
    x = 35,485.37

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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.