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Finding the Fourth Proportional to 77,188.11, 115,782.17 and 21,784.11

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Solution

The fourth proportional to 77,188.11, 115,782.17 and 21,784.11 is: 32,676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,188.11 : 115,782.17 = 21,784.11 : x
  2. Step 2: Convert to fraction form
    77,188.11/115,782.17 = 21,784.11/x
  3. Step 3: Cross multiply
    77,188.11x = 115,782.17 × 21,784.11
  4. Step 4: Simplify right side
    77,188.11x = 2,522,211,418.40
  5. Step 5: Solve for x
    x = 2,522,211,418.40/77,188.11
  6. Step 6: Final answer
    x = 32,676.17

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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.