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Finding the Fourth Proportional to 92,228.52, 138,362.22 and 29,894.16

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Solution

The fourth proportional to 92,228.52, 138,362.22 and 29,894.16 is: 44,847.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,228.52 : 138,362.22 = 29,894.16 : x
  2. Step 2: Convert to fraction form
    92,228.52/138,362.22 = 29,894.16/x
  3. Step 3: Cross multiply
    92,228.52x = 138,362.22 × 29,894.16
  4. Step 4: Simplify right side
    92,228.52x = 4,136,222,342.64
  5. Step 5: Solve for x
    x = 4,136,222,342.64/92,228.52
  6. Step 6: Final answer
    x = 44,847.54

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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.