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Finding the Fourth Proportional to 32,071.28, 44,256.84 and 17,924

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Solution

The fourth proportional to 32,071.28, 44,256.84 and 17,924 is: 24,734.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,071.28 : 44,256.84 = 17,924 : x
  2. Step 2: Convert to fraction form
    32,071.28/44,256.84 = 17,924/x
  3. Step 3: Cross multiply
    32,071.28x = 44,256.84 × 17,924
  4. Step 4: Simplify right side
    32,071.28x = 793,259,600.16
  5. Step 5: Solve for x
    x = 793,259,600.16/32,071.28
  6. Step 6: Final answer
    x = 24,734.27

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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.