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Finding the Fourth Proportional to 114,329.68, 171,494.52 and 47,733.55

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Solution

The fourth proportional to 114,329.68, 171,494.52 and 47,733.55 is: 71,600.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,329.68 : 171,494.52 = 47,733.55 : x
  2. Step 2: Convert to fraction form
    114,329.68/171,494.52 = 47,733.55/x
  3. Step 3: Cross multiply
    114,329.68x = 171,494.52 × 47,733.55
  4. Step 4: Simplify right side
    114,329.68x = 8,186,042,602.07
  5. Step 5: Solve for x
    x = 8,186,042,602.07/114,329.68
  6. Step 6: Final answer
    x = 71,600.33

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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.