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Finding the Fourth Proportional to 52,662.31, 78,923.60 and 23,047.90

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Solution

The fourth proportional to 52,662.31, 78,923.60 and 23,047.90 is: 34,541.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,662.31 : 78,923.60 = 23,047.90 : x
  2. Step 2: Convert to fraction form
    52,662.31/78,923.60 = 23,047.90/x
  3. Step 3: Cross multiply
    52,662.31x = 78,923.60 × 23,047.90
  4. Step 4: Simplify right side
    52,662.31x = 1,819,023,240.44
  5. Step 5: Solve for x
    x = 1,819,023,240.44/52,662.31
  6. Step 6: Final answer
    x = 34,541.27

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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.