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Finding the Fourth Proportional to 57,196.53, 85,794.86 and 15,643.53

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Solution

The fourth proportional to 57,196.53, 85,794.86 and 15,643.53 is: 23,465.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,196.53 : 85,794.86 = 15,643.53 : x
  2. Step 2: Convert to fraction form
    57,196.53/85,794.86 = 15,643.53/x
  3. Step 3: Cross multiply
    57,196.53x = 85,794.86 × 15,643.53
  4. Step 4: Simplify right side
    57,196.53x = 1,342,134,505.36
  5. Step 5: Solve for x
    x = 1,342,134,505.36/57,196.53
  6. Step 6: Final answer
    x = 23,465.31

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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.