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Finding the Fourth Proportional to 32,071.68, 44,215.20 and 23,708.16

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Solution

The fourth proportional to 32,071.68, 44,215.20 and 23,708.16 is: 32,684.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,071.68 : 44,215.20 = 23,708.16 : x
  2. Step 2: Convert to fraction form
    32,071.68/44,215.20 = 23,708.16/x
  3. Step 3: Cross multiply
    32,071.68x = 44,215.20 × 23,708.16
  4. Step 4: Simplify right side
    32,071.68x = 1,048,261,036.03
  5. Step 5: Solve for x
    x = 1,048,261,036.03/32,071.68
  6. Step 6: Final answer
    x = 32,684.94

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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.