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Finding the Fourth Proportional to 48,112.60, 72,114.90 and 23,164.60

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Solution

The fourth proportional to 48,112.60, 72,114.90 and 23,164.60 is: 34,720.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,112.60 : 72,114.90 = 23,164.60 : x
  2. Step 2: Convert to fraction form
    48,112.60/72,114.90 = 23,164.60/x
  3. Step 3: Cross multiply
    48,112.60x = 72,114.90 × 23,164.60
  4. Step 4: Simplify right side
    48,112.60x = 1,670,512,812.54
  5. Step 5: Solve for x
    x = 1,670,512,812.54/48,112.60
  6. Step 6: Final answer
    x = 34,720.90

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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.