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Finding the Fourth Proportional to 61,442.92, 92,186.57 and 21,467.81

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Solution

The fourth proportional to 61,442.92, 92,186.57 and 21,467.81 is: 32,209.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,442.92 : 92,186.57 = 21,467.81 : x
  2. Step 2: Convert to fraction form
    61,442.92/92,186.57 = 21,467.81/x
  3. Step 3: Cross multiply
    61,442.92x = 92,186.57 × 21,467.81
  4. Step 4: Simplify right side
    61,442.92x = 1,979,043,769.31
  5. Step 5: Solve for x
    x = 1,979,043,769.31/61,442.92
  6. Step 6: Final answer
    x = 32,209.47

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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.