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Finding the Fourth Proportional to 57,772.60, 86,513.10 and 46,108.60

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Solution

The fourth proportional to 57,772.60, 86,513.10 and 46,108.60 is: 69,046.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,772.60 : 86,513.10 = 46,108.60 : x
  2. Step 2: Convert to fraction form
    57,772.60/86,513.10 = 46,108.60/x
  3. Step 3: Cross multiply
    57,772.60x = 86,513.10 × 46,108.60
  4. Step 4: Simplify right side
    57,772.60x = 3,988,997,922.66
  5. Step 5: Solve for x
    x = 3,988,997,922.66/57,772.60
  6. Step 6: Final answer
    x = 69,046.54

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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.