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Finding the Fourth Proportional to 57,208.66, 85,812.72 and 14,514.10

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Solution

The fourth proportional to 57,208.66, 85,812.72 and 14,514.10 is: 21,771.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,208.66 : 85,812.72 = 14,514.10 : x
  2. Step 2: Convert to fraction form
    57,208.66/85,812.72 = 14,514.10/x
  3. Step 3: Cross multiply
    57,208.66x = 85,812.72 × 14,514.10
  4. Step 4: Simplify right side
    57,208.66x = 1,245,494,399.35
  5. Step 5: Solve for x
    x = 1,245,494,399.35/57,208.66
  6. Step 6: Final answer
    x = 21,771.08

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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.