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Finding the Fourth Proportional to 32,830.37, 49,238.35 and 9,451.73

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Solution

The fourth proportional to 32,830.37, 49,238.35 and 9,451.73 is: 14,175.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,830.37 : 49,238.35 = 9,451.73 : x
  2. Step 2: Convert to fraction form
    32,830.37/49,238.35 = 9,451.73/x
  3. Step 3: Cross multiply
    32,830.37x = 49,238.35 × 9,451.73
  4. Step 4: Simplify right side
    32,830.37x = 465,387,320.02
  5. Step 5: Solve for x
    x = 465,387,320.02/32,830.37
  6. Step 6: Final answer
    x = 14,175.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.