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Finding the Fourth Proportional to 55,377, 83,064.72 and 25,778.28

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Solution

The fourth proportional to 55,377, 83,064.72 and 25,778.28 is: 38,667.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,377 : 83,064.72 = 25,778.28 : x
  2. Step 2: Convert to fraction form
    55,377/83,064.72 = 25,778.28/x
  3. Step 3: Cross multiply
    55,377x = 83,064.72 × 25,778.28
  4. Step 4: Simplify right side
    55,377x = 2,141,265,610.28
  5. Step 5: Solve for x
    x = 2,141,265,610.28/55,377
  6. Step 6: Final answer
    x = 38,667.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.