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Finding the Fourth Proportional to 61,766.40, 92,554.92 and 32,193.84

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Solution

The fourth proportional to 61,766.40, 92,554.92 and 32,193.84 is: 48,241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,766.40 : 92,554.92 = 32,193.84 : x
  2. Step 2: Convert to fraction form
    61,766.40/92,554.92 = 32,193.84/x
  3. Step 3: Cross multiply
    61,766.40x = 92,554.92 × 32,193.84
  4. Step 4: Simplify right side
    61,766.40x = 2,979,698,285.69
  5. Step 5: Solve for x
    x = 2,979,698,285.69/61,766.40
  6. Step 6: Final answer
    x = 48,241.41

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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.