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Finding the Fourth Proportional to 77,967.50, 116,970.76 and 22,563.50

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Solution

The fourth proportional to 77,967.50, 116,970.76 and 22,563.50 is: 33,850.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,967.50 : 116,970.76 = 22,563.50 : x
  2. Step 2: Convert to fraction form
    77,967.50/116,970.76 = 22,563.50/x
  3. Step 3: Cross multiply
    77,967.50x = 116,970.76 × 22,563.50
  4. Step 4: Simplify right side
    77,967.50x = 2,639,269,743.26
  5. Step 5: Solve for x
    x = 2,639,269,743.26/77,967.50
  6. Step 6: Final answer
    x = 33,850.90

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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.