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Finding the Fourth Proportional to 32,011.78, 44,178.70 and 17,674.37

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Solution

The fourth proportional to 32,011.78, 44,178.70 and 17,674.37 is: 24,391.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,011.78 : 44,178.70 = 17,674.37 : x
  2. Step 2: Convert to fraction form
    32,011.78/44,178.70 = 17,674.37/x
  3. Step 3: Cross multiply
    32,011.78x = 44,178.70 × 17,674.37
  4. Step 4: Simplify right side
    32,011.78x = 780,830,645.73
  5. Step 5: Solve for x
    x = 780,830,645.73/32,011.78
  6. Step 6: Final answer
    x = 24,391.98

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