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Finding the Fourth Proportional to 77,156.72, 115,744.32 and 27,226.50

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Solution

The fourth proportional to 77,156.72, 115,744.32 and 27,226.50 is: 40,843.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,156.72 : 115,744.32 = 27,226.50 : x
  2. Step 2: Convert to fraction form
    77,156.72/115,744.32 = 27,226.50/x
  3. Step 3: Cross multiply
    77,156.72x = 115,744.32 × 27,226.50
  4. Step 4: Simplify right side
    77,156.72x = 3,151,312,728.48
  5. Step 5: Solve for x
    x = 3,151,312,728.48/77,156.72
  6. Step 6: Final answer
    x = 40,843.01

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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.