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Finding the Fourth Proportional to 32,032.68, 44,207.28 and 17,885.22

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Solution

The fourth proportional to 32,032.68, 44,207.28 and 17,885.22 is: 24,682.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,032.68 : 44,207.28 = 17,885.22 : x
  2. Step 2: Convert to fraction form
    32,032.68/44,207.28 = 17,885.22/x
  3. Step 3: Cross multiply
    32,032.68x = 44,207.28 × 17,885.22
  4. Step 4: Simplify right side
    32,032.68x = 790,656,928.40
  5. Step 5: Solve for x
    x = 790,656,928.40/32,032.68
  6. Step 6: Final answer
    x = 24,682.82

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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.