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Finding the Fourth Proportional to 31,898.66, 48,147.61 and 31,898.66

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Solution

The fourth proportional to 31,898.66, 48,147.61 and 31,898.66 is: 48,147.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,898.66 : 48,147.61 = 31,898.66 : x
  2. Step 2: Convert to fraction form
    31,898.66/48,147.61 = 31,898.66/x
  3. Step 3: Cross multiply
    31,898.66x = 48,147.61 × 31,898.66
  4. Step 4: Simplify right side
    31,898.66x = 1,535,844,241.20
  5. Step 5: Solve for x
    x = 1,535,844,241.20/31,898.66
  6. Step 6: Final answer
    x = 48,147.61

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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.