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Finding the Fourth Proportional to 53,149.74, 79,719.72 and 16,213.74

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Solution

The fourth proportional to 53,149.74, 79,719.72 and 16,213.74 is: 24,319.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,149.74 : 79,719.72 = 16,213.74 : x
  2. Step 2: Convert to fraction form
    53,149.74/79,719.72 = 16,213.74/x
  3. Step 3: Cross multiply
    53,149.74x = 79,719.72 × 16,213.74
  4. Step 4: Simplify right side
    53,149.74x = 1,292,554,812.95
  5. Step 5: Solve for x
    x = 1,292,554,812.95/53,149.74
  6. Step 6: Final answer
    x = 24,319.12

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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.