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Finding the Fourth Proportional to 57,116.86, 85,672.86 and 15,563.86

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Solution

The fourth proportional to 57,116.86, 85,672.86 and 15,563.86 is: 23,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,116.86 : 85,672.86 = 15,563.86 : x
  2. Step 2: Convert to fraction form
    57,116.86/85,672.86 = 15,563.86/x
  3. Step 3: Cross multiply
    57,116.86x = 85,672.86 × 15,563.86
  4. Step 4: Simplify right side
    57,116.86x = 1,333,400,398.84
  5. Step 5: Solve for x
    x = 1,333,400,398.84/57,116.86
  6. Step 6: Final answer
    x = 23,345.13

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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.