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Finding the Fourth Proportional to 61,912.94, 92,805.87 and 24,457.82

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Solution

The fourth proportional to 61,912.94, 92,805.87 and 24,457.82 is: 36,661.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,912.94 : 92,805.87 = 24,457.82 : x
  2. Step 2: Convert to fraction form
    61,912.94/92,805.87 = 24,457.82/x
  3. Step 3: Cross multiply
    61,912.94x = 92,805.87 × 24,457.82
  4. Step 4: Simplify right side
    61,912.94x = 2,269,829,263.40
  5. Step 5: Solve for x
    x = 2,269,829,263.40/61,912.94
  6. Step 6: Final answer
    x = 36,661.63

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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.