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Finding the Fourth Proportional to 68,384.76, 102,581.24 and 24,014.63

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Solution

The fourth proportional to 68,384.76, 102,581.24 and 24,014.63 is: 36,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,384.76 : 102,581.24 = 24,014.63 : x
  2. Step 2: Convert to fraction form
    68,384.76/102,581.24 = 24,014.63/x
  3. Step 3: Cross multiply
    68,384.76x = 102,581.24 × 24,014.63
  4. Step 4: Simplify right side
    68,384.76x = 2,463,450,082.90
  5. Step 5: Solve for x
    x = 2,463,450,082.90/68,384.76
  6. Step 6: Final answer
    x = 36,023.38

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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.