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Finding the Fourth Proportional to 37,778.58, 52,139.16 and 21,642.75

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Solution

The fourth proportional to 37,778.58, 52,139.16 and 21,642.75 is: 29,869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,778.58 : 52,139.16 = 21,642.75 : x
  2. Step 2: Convert to fraction form
    37,778.58/52,139.16 = 21,642.75/x
  3. Step 3: Cross multiply
    37,778.58x = 52,139.16 × 21,642.75
  4. Step 4: Simplify right side
    37,778.58x = 1,128,434,805.09
  5. Step 5: Solve for x
    x = 1,128,434,805.09/37,778.58
  6. Step 6: Final answer
    x = 29,869.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.