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Finding the Fourth Proportional to 52,517.04, 78,752.52 and 19,662

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Solution

The fourth proportional to 52,517.04, 78,752.52 and 19,662 is: 29,484.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,517.04 : 78,752.52 = 19,662 : x
  2. Step 2: Convert to fraction form
    52,517.04/78,752.52 = 19,662/x
  3. Step 3: Cross multiply
    52,517.04x = 78,752.52 × 19,662
  4. Step 4: Simplify right side
    52,517.04x = 1,548,432,048.24
  5. Step 5: Solve for x
    x = 1,548,432,048.24/52,517.04
  6. Step 6: Final answer
    x = 29,484.37

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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.