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Finding the Fourth Proportional to 77,784.75, 116,677.13 and 22,380.75

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Solution

The fourth proportional to 77,784.75, 116,677.13 and 22,380.75 is: 33,571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,784.75 : 116,677.13 = 22,380.75 : x
  2. Step 2: Convert to fraction form
    77,784.75/116,677.13 = 22,380.75/x
  3. Step 3: Cross multiply
    77,784.75x = 116,677.13 × 22,380.75
  4. Step 4: Simplify right side
    77,784.75x = 2,611,321,565.34
  5. Step 5: Solve for x
    x = 2,611,321,565.34/77,784.75
  6. Step 6: Final answer
    x = 33,571.13

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1.5x scale

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.