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Finding the Fourth Proportional to 52,453.95, 78,713.73 and 21,289.20

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Solution

The fourth proportional to 52,453.95, 78,713.73 and 21,289.20 is: 31,947.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,453.95 : 78,713.73 = 21,289.20 : x
  2. Step 2: Convert to fraction form
    52,453.95/78,713.73 = 21,289.20/x
  3. Step 3: Cross multiply
    52,453.95x = 78,713.73 × 21,289.20
  4. Step 4: Simplify right side
    52,453.95x = 1,675,752,340.72
  5. Step 5: Solve for x
    x = 1,675,752,340.72/52,453.95
  6. Step 6: Final answer
    x = 31,947.11

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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.