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Finding the Fourth Proportional to 31,833.72, 48,049.74 and 31,833.72

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Solution

The fourth proportional to 31,833.72, 48,049.74 and 31,833.72 is: 48,049.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,833.72 : 48,049.74 = 31,833.72 : x
  2. Step 2: Convert to fraction form
    31,833.72/48,049.74 = 31,833.72/x
  3. Step 3: Cross multiply
    31,833.72x = 48,049.74 × 31,833.72
  4. Step 4: Simplify right side
    31,833.72x = 1,529,601,969.23
  5. Step 5: Solve for x
    x = 1,529,601,969.23/31,833.72
  6. Step 6: Final answer
    x = 48,049.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.