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Finding the Fourth Proportional to 32,072.49, 47,873.85 and 28,284.96

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Solution

The fourth proportional to 32,072.49, 47,873.85 and 28,284.96 is: 42,220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,072.49 : 47,873.85 = 28,284.96 : x
  2. Step 2: Convert to fraction form
    32,072.49/47,873.85 = 28,284.96/x
  3. Step 3: Cross multiply
    32,072.49x = 47,873.85 × 28,284.96
  4. Step 4: Simplify right side
    32,072.49x = 1,354,109,932.30
  5. Step 5: Solve for x
    x = 1,354,109,932.30/32,072.49
  6. Step 6: Final answer
    x = 42,220.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.