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Finding the Fourth Proportional to 31,520.76, 47,222.10 and 28,275

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Solution

The fourth proportional to 31,520.76, 47,222.10 and 28,275 is: 42,359.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,520.76 : 47,222.10 = 28,275 : x
  2. Step 2: Convert to fraction form
    31,520.76/47,222.10 = 28,275/x
  3. Step 3: Cross multiply
    31,520.76x = 47,222.10 × 28,275
  4. Step 4: Simplify right side
    31,520.76x = 1,335,204,877.50
  5. Step 5: Solve for x
    x = 1,335,204,877.50/31,520.76
  6. Step 6: Final answer
    x = 42,359.54

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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.