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Finding the Fourth Proportional to 61,905.30, 92,847.15 and 22,442.10

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Solution

The fourth proportional to 61,905.30, 92,847.15 and 22,442.10 is: 33,659.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,905.30 : 92,847.15 = 22,442.10 : x
  2. Step 2: Convert to fraction form
    61,905.30/92,847.15 = 22,442.10/x
  3. Step 3: Cross multiply
    61,905.30x = 92,847.15 × 22,442.10
  4. Step 4: Simplify right side
    61,905.30x = 2,083,685,025.02
  5. Step 5: Solve for x
    x = 2,083,685,025.02/61,905.30
  6. Step 6: Final answer
    x = 33,659.23

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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.