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Finding the Fourth Proportional to 48,486, 66,911.50 and 31,719

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Solution

The fourth proportional to 48,486, 66,911.50 and 31,719 is: 43,772.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,486 : 66,911.50 = 31,719 : x
  2. Step 2: Convert to fraction form
    48,486/66,911.50 = 31,719/x
  3. Step 3: Cross multiply
    48,486x = 66,911.50 × 31,719
  4. Step 4: Simplify right side
    48,486x = 2,122,365,868.50
  5. Step 5: Solve for x
    x = 2,122,365,868.50/48,486
  6. Step 6: Final answer
    x = 43,772.76

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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.