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Finding the Fourth Proportional to 68,124, 102,141.72 and 32,566.08

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Solution

The fourth proportional to 68,124, 102,141.72 and 32,566.08 is: 48,827.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,124 : 102,141.72 = 32,566.08 : x
  2. Step 2: Convert to fraction form
    68,124/102,141.72 = 32,566.08/x
  3. Step 3: Cross multiply
    68,124x = 102,141.72 × 32,566.08
  4. Step 4: Simplify right side
    68,124x = 3,326,355,424.86
  5. Step 5: Solve for x
    x = 3,326,355,424.86/68,124
  6. Step 6: Final answer
    x = 48,827.95

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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.