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Finding the Fourth Proportional to 31,777.81, 47,852.57 and 23,516.12

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Solution

The fourth proportional to 31,777.81, 47,852.57 and 23,516.12 is: 35,411.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,777.81 : 47,852.57 = 23,516.12 : x
  2. Step 2: Convert to fraction form
    31,777.81/47,852.57 = 23,516.12/x
  3. Step 3: Cross multiply
    31,777.81x = 47,852.57 × 23,516.12
  4. Step 4: Simplify right side
    31,777.81x = 1,125,306,956.85
  5. Step 5: Solve for x
    x = 1,125,306,956.85/31,777.81
  6. Step 6: Final answer
    x = 35,411.72

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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.