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Finding the Fourth Proportional to 61,601.69, 85,006.84 and 34,742.60

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Solution

The fourth proportional to 61,601.69, 85,006.84 and 34,742.60 is: 47,942.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,601.69 : 85,006.84 = 34,742.60 : x
  2. Step 2: Convert to fraction form
    61,601.69/85,006.84 = 34,742.60/x
  3. Step 3: Cross multiply
    61,601.69x = 85,006.84 × 34,742.60
  4. Step 4: Simplify right side
    61,601.69x = 2,953,358,370.04
  5. Step 5: Solve for x
    x = 2,953,358,370.04/61,601.69
  6. Step 6: Final answer
    x = 47,942.81

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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.