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Finding the Fourth Proportional to 52,751.88, 79,146.12 and 30,584.52

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Solution

The fourth proportional to 52,751.88, 79,146.12 and 30,584.52 is: 45,887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,751.88 : 79,146.12 = 30,584.52 : x
  2. Step 2: Convert to fraction form
    52,751.88/79,146.12 = 30,584.52/x
  3. Step 3: Cross multiply
    52,751.88x = 79,146.12 × 30,584.52
  4. Step 4: Simplify right side
    52,751.88x = 2,420,646,090.06
  5. Step 5: Solve for x
    x = 2,420,646,090.06/52,751.88
  6. Step 6: Final answer
    x = 45,887.39

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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.