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Finding the Fourth Proportional to 39,878.98, 59,855.46 and 20,171.50

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Solution

The fourth proportional to 39,878.98, 59,855.46 and 20,171.50 is: 30,275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,878.98 : 59,855.46 = 20,171.50 : x
  2. Step 2: Convert to fraction form
    39,878.98/59,855.46 = 20,171.50/x
  3. Step 3: Cross multiply
    39,878.98x = 59,855.46 × 20,171.50
  4. Step 4: Simplify right side
    39,878.98x = 1,207,374,411.39
  5. Step 5: Solve for x
    x = 1,207,374,411.39/39,878.98
  6. Step 6: Final answer
    x = 30,275.96

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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.