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Finding the Fourth Proportional to 32,032.54, 44,204.94 and 17,885.38

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Solution

The fourth proportional to 32,032.54, 44,204.94 and 17,885.38 is: 24,681.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,032.54 : 44,204.94 = 17,885.38 : x
  2. Step 2: Convert to fraction form
    32,032.54/44,204.94 = 17,885.38/x
  3. Step 3: Cross multiply
    32,032.54x = 44,204.94 × 17,885.38
  4. Step 4: Simplify right side
    32,032.54x = 790,622,149.78
  5. Step 5: Solve for x
    x = 790,622,149.78/32,032.54
  6. Step 6: Final answer
    x = 24,681.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.