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Finding the Fourth Proportional to 31,870.56, 47,769.76 and 16,050.44

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Solution

The fourth proportional to 31,870.56, 47,769.76 and 16,050.44 is: 24,057.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,870.56 : 47,769.76 = 16,050.44 : x
  2. Step 2: Convert to fraction form
    31,870.56/47,769.76 = 16,050.44/x
  3. Step 3: Cross multiply
    31,870.56x = 47,769.76 × 16,050.44
  4. Step 4: Simplify right side
    31,870.56x = 766,725,666.69
  5. Step 5: Solve for x
    x = 766,725,666.69/31,870.56
  6. Step 6: Final answer
    x = 24,057.49

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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.