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Finding the Fourth Proportional to 52,509.90, 78,764.69 and 13,067.03

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Solution

The fourth proportional to 52,509.90, 78,764.69 and 13,067.03 is: 19,600.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,509.90 : 78,764.69 = 13,067.03 : x
  2. Step 2: Convert to fraction form
    52,509.90/78,764.69 = 13,067.03/x
  3. Step 3: Cross multiply
    52,509.90x = 78,764.69 × 13,067.03
  4. Step 4: Simplify right side
    52,509.90x = 1,029,220,108.01
  5. Step 5: Solve for x
    x = 1,029,220,108.01/52,509.90
  6. Step 6: Final answer
    x = 19,600.50

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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.