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Finding the Fourth Proportional to 32,933.67, 49,400.50 and 15,415.80

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Solution

The fourth proportional to 32,933.67, 49,400.50 and 15,415.80 is: 23,123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,933.67 : 49,400.50 = 15,415.80 : x
  2. Step 2: Convert to fraction form
    32,933.67/49,400.50 = 15,415.80/x
  3. Step 3: Cross multiply
    32,933.67x = 49,400.50 × 15,415.80
  4. Step 4: Simplify right side
    32,933.67x = 761,548,227.90
  5. Step 5: Solve for x
    x = 761,548,227.90/32,933.67
  6. Step 6: Final answer
    x = 23,123.70

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