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Finding the Fourth Proportional to 114,330.68, 171,496.02 and 47,734.55

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Solution

The fourth proportional to 114,330.68, 171,496.02 and 47,734.55 is: 71,601.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,330.68 : 171,496.02 = 47,734.55 : x
  2. Step 2: Convert to fraction form
    114,330.68/171,496.02 = 47,734.55/x
  3. Step 3: Cross multiply
    114,330.68x = 171,496.02 × 47,734.55
  4. Step 4: Simplify right side
    114,330.68x = 8,186,285,341.49
  5. Step 5: Solve for x
    x = 8,186,285,341.49/114,330.68
  6. Step 6: Final answer
    x = 71,601.83

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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.