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Finding the Fourth Proportional to 73,957.68, 110,937.24 and 31,835.16

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Solution

The fourth proportional to 73,957.68, 110,937.24 and 31,835.16 is: 47,753.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,957.68 : 110,937.24 = 31,835.16 : x
  2. Step 2: Convert to fraction form
    73,957.68/110,937.24 = 31,835.16/x
  3. Step 3: Cross multiply
    73,957.68x = 110,937.24 × 31,835.16
  4. Step 4: Simplify right side
    73,957.68x = 3,531,704,785.36
  5. Step 5: Solve for x
    x = 3,531,704,785.36/73,957.68
  6. Step 6: Final answer
    x = 47,753.05

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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.