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Finding the Fourth Proportional to 32,170, 44,394.74 and 17,830.48

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Solution

The fourth proportional to 32,170, 44,394.74 and 17,830.48 is: 24,606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,170 : 44,394.74 = 17,830.48 : x
  2. Step 2: Convert to fraction form
    32,170/44,394.74 = 17,830.48/x
  3. Step 3: Cross multiply
    32,170x = 44,394.74 × 17,830.48
  4. Step 4: Simplify right side
    32,170x = 791,579,523.68
  5. Step 5: Solve for x
    x = 791,579,523.68/32,170
  6. Step 6: Final answer
    x = 24,606.14

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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.