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Finding the Fourth Proportional to 61,189.96, 84,491.94 and 49,861.16

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Solution

The fourth proportional to 61,189.96, 84,491.94 and 49,861.16 is: 68,848.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,189.96 : 84,491.94 = 49,861.16 : x
  2. Step 2: Convert to fraction form
    61,189.96/84,491.94 = 49,861.16/x
  3. Step 3: Cross multiply
    61,189.96x = 84,491.94 × 49,861.16
  4. Step 4: Simplify right side
    61,189.96x = 4,212,866,139.05
  5. Step 5: Solve for x
    x = 4,212,866,139.05/61,189.96
  6. Step 6: Final answer
    x = 68,848.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.