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Finding the Fourth Proportional to 73,516.78, 110,275.14 and 31,963.78

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Solution

The fourth proportional to 73,516.78, 110,275.14 and 31,963.78 is: 47,945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,516.78 : 110,275.14 = 31,963.78 : x
  2. Step 2: Convert to fraction form
    73,516.78/110,275.14 = 31,963.78/x
  3. Step 3: Cross multiply
    73,516.78x = 110,275.14 × 31,963.78
  4. Step 4: Simplify right side
    73,516.78x = 3,524,810,314.43
  5. Step 5: Solve for x
    x = 3,524,810,314.43/73,516.78
  6. Step 6: Final answer
    x = 47,945.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.