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Finding the Fourth Proportional to 76,399, 114,627.66 and 29,655.52

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Solution

The fourth proportional to 76,399, 114,627.66 and 29,655.52 is: 44,494.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,399 : 114,627.66 = 29,655.52 : x
  2. Step 2: Convert to fraction form
    76,399/114,627.66 = 29,655.52/x
  3. Step 3: Cross multiply
    76,399x = 114,627.66 × 29,655.52
  4. Step 4: Simplify right side
    76,399x = 3,399,342,863.68
  5. Step 5: Solve for x
    x = 3,399,342,863.68/76,399
  6. Step 6: Final answer
    x = 44,494.60

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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.