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Finding the Fourth Proportional to 68,497.10, 102,753.95 and 24,114.77

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Solution

The fourth proportional to 68,497.10, 102,753.95 and 24,114.77 is: 36,175.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,497.10 : 102,753.95 = 24,114.77 : x
  2. Step 2: Convert to fraction form
    68,497.10/102,753.95 = 24,114.77/x
  3. Step 3: Cross multiply
    68,497.10x = 102,753.95 × 24,114.77
  4. Step 4: Simplify right side
    68,497.10x = 2,477,887,236.50
  5. Step 5: Solve for x
    x = 2,477,887,236.50/68,497.10
  6. Step 6: Final answer
    x = 36,175.07

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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.