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Finding the Fourth Proportional to 77,563.86, 116,238.14 and 35,340.75

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Solution

The fourth proportional to 77,563.86, 116,238.14 and 35,340.75 is: 52,962.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,563.86 : 116,238.14 = 35,340.75 : x
  2. Step 2: Convert to fraction form
    77,563.86/116,238.14 = 35,340.75/x
  3. Step 3: Cross multiply
    77,563.86x = 116,238.14 × 35,340.75
  4. Step 4: Simplify right side
    77,563.86x = 4,107,942,824.20
  5. Step 5: Solve for x
    x = 4,107,942,824.20/77,563.86
  6. Step 6: Final answer
    x = 52,962.07

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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.