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Finding the Fourth Proportional to 52,165.52, 78,247.92 and 21,000.32

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Solution

The fourth proportional to 52,165.52, 78,247.92 and 21,000.32 is: 31,500.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,165.52 : 78,247.92 = 21,000.32 : x
  2. Step 2: Convert to fraction form
    52,165.52/78,247.92 = 21,000.32/x
  3. Step 3: Cross multiply
    52,165.52x = 78,247.92 × 21,000.32
  4. Step 4: Simplify right side
    52,165.52x = 1,643,231,359.33
  5. Step 5: Solve for x
    x = 1,643,231,359.33/52,165.52
  6. Step 6: Final answer
    x = 31,500.34

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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.