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Finding the Fourth Proportional to 54,351.19, 81,523.14 and 14,905

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Solution

The fourth proportional to 54,351.19, 81,523.14 and 14,905 is: 22,356.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,351.19 : 81,523.14 = 14,905 : x
  2. Step 2: Convert to fraction form
    54,351.19/81,523.14 = 14,905/x
  3. Step 3: Cross multiply
    54,351.19x = 81,523.14 × 14,905
  4. Step 4: Simplify right side
    54,351.19x = 1,215,102,401.70
  5. Step 5: Solve for x
    x = 1,215,102,401.70/54,351.19
  6. Step 6: Final answer
    x = 22,356.50

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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.