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Finding the Fourth Proportional to 83,883.62, 125,847.21 and 31,293.50

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Solution

The fourth proportional to 83,883.62, 125,847.21 and 31,293.50 is: 46,948.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,883.62 : 125,847.21 = 31,293.50 : x
  2. Step 2: Convert to fraction form
    83,883.62/125,847.21 = 31,293.50/x
  3. Step 3: Cross multiply
    83,883.62x = 125,847.21 × 31,293.50
  4. Step 4: Simplify right side
    83,883.62x = 3,938,199,666.14
  5. Step 5: Solve for x
    x = 3,938,199,666.14/83,883.62
  6. Step 6: Final answer
    x = 46,948.38

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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.