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Finding the Fourth Proportional to 48,657.60, 72,986.40 and 27,883.20

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Solution

The fourth proportional to 48,657.60, 72,986.40 and 27,883.20 is: 41,824.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,657.60 : 72,986.40 = 27,883.20 : x
  2. Step 2: Convert to fraction form
    48,657.60/72,986.40 = 27,883.20/x
  3. Step 3: Cross multiply
    48,657.60x = 72,986.40 × 27,883.20
  4. Step 4: Simplify right side
    48,657.60x = 2,035,094,388.48
  5. Step 5: Solve for x
    x = 2,035,094,388.48/48,657.60
  6. Step 6: Final answer
    x = 41,824.80

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Why These Related Problems?

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