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Finding the Fourth Proportional to 32,146.58, 48,187.97 and 16,304.49

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Solution

The fourth proportional to 32,146.58, 48,187.97 and 16,304.49 is: 24,440.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,146.58 : 48,187.97 = 16,304.49 : x
  2. Step 2: Convert to fraction form
    32,146.58/48,187.97 = 16,304.49/x
  3. Step 3: Cross multiply
    32,146.58x = 48,187.97 × 16,304.49
  4. Step 4: Simplify right side
    32,146.58x = 785,680,193.46
  5. Step 5: Solve for x
    x = 785,680,193.46/32,146.58
  6. Step 6: Final answer
    x = 24,440.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.