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Finding the Fourth Proportional to 32,086, 44,277.62 and 17,745.60

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Solution

The fourth proportional to 32,086, 44,277.62 and 17,745.60 is: 24,488.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,086 : 44,277.62 = 17,745.60 : x
  2. Step 2: Convert to fraction form
    32,086/44,277.62 = 17,745.60/x
  3. Step 3: Cross multiply
    32,086x = 44,277.62 × 17,745.60
  4. Step 4: Simplify right side
    32,086x = 785,732,933.47
  5. Step 5: Solve for x
    x = 785,732,933.47/32,086
  6. Step 6: Final answer
    x = 24,488.34

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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.