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Finding the Fourth Proportional to 61,558.82, 92,305.41 and 31,946.84

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Solution

The fourth proportional to 61,558.82, 92,305.41 and 31,946.84 is: 47,903.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,558.82 : 92,305.41 = 31,946.84 : x
  2. Step 2: Convert to fraction form
    61,558.82/92,305.41 = 31,946.84/x
  3. Step 3: Cross multiply
    61,558.82x = 92,305.41 × 31,946.84
  4. Step 4: Simplify right side
    61,558.82x = 2,948,866,164.40
  5. Step 5: Solve for x
    x = 2,948,866,164.40/61,558.82
  6. Step 6: Final answer
    x = 47,903.23

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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.