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Finding the Fourth Proportional to 32,133.98, 47,982.23 and 28,354.26

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Solution

The fourth proportional to 32,133.98, 47,982.23 and 28,354.26 is: 42,338.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,133.98 : 47,982.23 = 28,354.26 : x
  2. Step 2: Convert to fraction form
    32,133.98/47,982.23 = 28,354.26/x
  3. Step 3: Cross multiply
    32,133.98x = 47,982.23 × 28,354.26
  4. Step 4: Simplify right side
    32,133.98x = 1,360,500,624.80
  5. Step 5: Solve for x
    x = 1,360,500,624.80/32,133.98
  6. Step 6: Final answer
    x = 42,338.38

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