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Finding the Fourth Proportional to 45,768, 63,160.80 and 25,896

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Solution

The fourth proportional to 45,768, 63,160.80 and 25,896 is: 35,737.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,768 : 63,160.80 = 25,896 : x
  2. Step 2: Convert to fraction form
    45,768/63,160.80 = 25,896/x
  3. Step 3: Cross multiply
    45,768x = 63,160.80 × 25,896
  4. Step 4: Simplify right side
    45,768x = 1,635,612,076.80
  5. Step 5: Solve for x
    x = 1,635,612,076.80/45,768
  6. Step 6: Final answer
    x = 35,737.02

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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.