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Finding the Fourth Proportional to 57,196.13, 85,800.13 and 15,643.13

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Solution

The fourth proportional to 57,196.13, 85,800.13 and 15,643.13 is: 23,466.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,196.13 : 85,800.13 = 15,643.13 : x
  2. Step 2: Convert to fraction form
    57,196.13/85,800.13 = 15,643.13/x
  3. Step 3: Cross multiply
    57,196.13x = 85,800.13 × 15,643.13
  4. Step 4: Simplify right side
    57,196.13x = 1,342,182,119.50
  5. Step 5: Solve for x
    x = 1,342,182,119.50/57,196.13
  6. Step 6: Final answer
    x = 23,466.31

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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.