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Finding the Fourth Proportional to 62,492.30, 86,239.05 and 34,198.46

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Solution

The fourth proportional to 62,492.30, 86,239.05 and 34,198.46 is: 47,193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,492.30 : 86,239.05 = 34,198.46 : x
  2. Step 2: Convert to fraction form
    62,492.30/86,239.05 = 34,198.46/x
  3. Step 3: Cross multiply
    62,492.30x = 86,239.05 × 34,198.46
  4. Step 4: Simplify right side
    62,492.30x = 2,949,242,701.86
  5. Step 5: Solve for x
    x = 2,949,242,701.86/62,492.30
  6. Step 6: Final answer
    x = 47,193.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.