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Finding the Fourth Proportional to 32,071.14, 44,255.16 and 17,923.68

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Solution

The fourth proportional to 32,071.14, 44,255.16 and 17,923.68 is: 24,732.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,071.14 : 44,255.16 = 17,923.68 : x
  2. Step 2: Convert to fraction form
    32,071.14/44,255.16 = 17,923.68/x
  3. Step 3: Cross multiply
    32,071.14x = 44,255.16 × 17,923.68
  4. Step 4: Simplify right side
    32,071.14x = 793,215,326.19
  5. Step 5: Solve for x
    x = 793,215,326.19/32,071.14
  6. Step 6: Final answer
    x = 24,732.99

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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.