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Finding the Fourth Proportional to 68,409, 102,612.54 and 21,661.86

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Solution

The fourth proportional to 68,409, 102,612.54 and 21,661.86 is: 32,492.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,409 : 102,612.54 = 21,661.86 : x
  2. Step 2: Convert to fraction form
    68,409/102,612.54 = 21,661.86/x
  3. Step 3: Cross multiply
    68,409x = 102,612.54 × 21,661.86
  4. Step 4: Simplify right side
    68,409x = 2,222,778,475.72
  5. Step 5: Solve for x
    x = 2,222,778,475.72/68,409
  6. Step 6: Final answer
    x = 32,492.49

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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.