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Finding the Fourth Proportional to 57,207.66, 85,811.22 and 14,513.10

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Solution

The fourth proportional to 57,207.66, 85,811.22 and 14,513.10 is: 21,769.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,207.66 : 85,811.22 = 14,513.10 : x
  2. Step 2: Convert to fraction form
    57,207.66/85,811.22 = 14,513.10/x
  3. Step 3: Cross multiply
    57,207.66x = 85,811.22 × 14,513.10
  4. Step 4: Simplify right side
    57,207.66x = 1,245,386,816.98
  5. Step 5: Solve for x
    x = 1,245,386,816.98/57,207.66
  6. Step 6: Final answer
    x = 21,769.58

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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.