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Finding the Fourth Proportional to 77,614.24, 116,418.12 and 22,210.24

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Solution

The fourth proportional to 77,614.24, 116,418.12 and 22,210.24 is: 33,314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,614.24 : 116,418.12 = 22,210.24 : x
  2. Step 2: Convert to fraction form
    77,614.24/116,418.12 = 22,210.24/x
  3. Step 3: Cross multiply
    77,614.24x = 116,418.12 × 22,210.24
  4. Step 4: Simplify right side
    77,614.24x = 2,585,674,385.55
  5. Step 5: Solve for x
    x = 2,585,674,385.55/77,614.24
  6. Step 6: Final answer
    x = 33,314.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.