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Finding the Fourth Proportional to 52,303.98, 78,447.70 and 22,713.87

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Solution

The fourth proportional to 52,303.98, 78,447.70 and 22,713.87 is: 34,067.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,303.98 : 78,447.70 = 22,713.87 : x
  2. Step 2: Convert to fraction form
    52,303.98/78,447.70 = 22,713.87/x
  3. Step 3: Cross multiply
    52,303.98x = 78,447.70 × 22,713.87
  4. Step 4: Simplify right side
    52,303.98x = 1,781,850,859.60
  5. Step 5: Solve for x
    x = 1,781,850,859.60/52,303.98
  6. Step 6: Final answer
    x = 34,067.21

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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.