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Finding the Fourth Proportional to 53,147.74, 79,716.72 and 16,211.74

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Solution

The fourth proportional to 53,147.74, 79,716.72 and 16,211.74 is: 24,316.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,147.74 : 79,716.72 = 16,211.74 : x
  2. Step 2: Convert to fraction form
    53,147.74/79,716.72 = 16,211.74/x
  3. Step 3: Cross multiply
    53,147.74x = 79,716.72 × 16,211.74
  4. Step 4: Simplify right side
    53,147.74x = 1,292,346,738.29
  5. Step 5: Solve for x
    x = 1,292,346,738.29/53,147.74
  6. Step 6: Final answer
    x = 24,316.12

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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.