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Finding the Fourth Proportional to 32,046.48, 44,226 and 17,900.64

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Solution

The fourth proportional to 32,046.48, 44,226 and 17,900.64 is: 24,703.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,046.48 : 44,226 = 17,900.64 : x
  2. Step 2: Convert to fraction form
    32,046.48/44,226 = 17,900.64/x
  3. Step 3: Cross multiply
    32,046.48x = 44,226 × 17,900.64
  4. Step 4: Simplify right side
    32,046.48x = 791,673,704.64
  5. Step 5: Solve for x
    x = 791,673,704.64/32,046.48
  6. Step 6: Final answer
    x = 24,703.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.