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Finding the Fourth Proportional to 61,821.87, 85,309.61 and 34,594.38

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Solution

The fourth proportional to 61,821.87, 85,309.61 and 34,594.38 is: 47,737.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,821.87 : 85,309.61 = 34,594.38 : x
  2. Step 2: Convert to fraction form
    61,821.87/85,309.61 = 34,594.38/x
  3. Step 3: Cross multiply
    61,821.87x = 85,309.61 × 34,594.38
  4. Step 4: Simplify right side
    61,821.87x = 2,951,232,893.02
  5. Step 5: Solve for x
    x = 2,951,232,893.02/61,821.87
  6. Step 6: Final answer
    x = 47,737.68

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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.