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Finding the Fourth Proportional to 35,197.26, 48,572.64 and 19,282.38

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Solution

The fourth proportional to 35,197.26, 48,572.64 and 19,282.38 is: 26,609.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,197.26 : 48,572.64 = 19,282.38 : x
  2. Step 2: Convert to fraction form
    35,197.26/48,572.64 = 19,282.38/x
  3. Step 3: Cross multiply
    35,197.26x = 48,572.64 × 19,282.38
  4. Step 4: Simplify right side
    35,197.26x = 936,596,102.08
  5. Step 5: Solve for x
    x = 936,596,102.08/35,197.26
  6. Step 6: Final answer
    x = 26,609.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.