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Finding the Fourth Proportional to 93,871.72, 140,809.74 and 31,542.76

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Solution

The fourth proportional to 93,871.72, 140,809.74 and 31,542.76 is: 47,314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,871.72 : 140,809.74 = 31,542.76 : x
  2. Step 2: Convert to fraction form
    93,871.72/140,809.74 = 31,542.76/x
  3. Step 3: Cross multiply
    93,871.72x = 140,809.74 × 31,542.76
  4. Step 4: Simplify right side
    93,871.72x = 4,441,527,834.48
  5. Step 5: Solve for x
    x = 4,441,527,834.48/93,871.72
  6. Step 6: Final answer
    x = 47,314.87

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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.