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Finding the Fourth Proportional to 61,684.60, 92,505.30 and 32,092.60

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Solution

The fourth proportional to 61,684.60, 92,505.30 and 32,092.60 is: 48,127.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,684.60 : 92,505.30 = 32,092.60 : x
  2. Step 2: Convert to fraction form
    61,684.60/92,505.30 = 32,092.60/x
  3. Step 3: Cross multiply
    61,684.60x = 92,505.30 × 32,092.60
  4. Step 4: Simplify right side
    61,684.60x = 2,968,735,590.78
  5. Step 5: Solve for x
    x = 2,968,735,590.78/61,684.60
  6. Step 6: Final answer
    x = 48,127.66

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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.