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Finding the Fourth Proportional to 34,923.68, 48,194.68 and 19,008.25

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Solution

The fourth proportional to 34,923.68, 48,194.68 and 19,008.25 is: 26,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,923.68 : 48,194.68 = 19,008.25 : x
  2. Step 2: Convert to fraction form
    34,923.68/48,194.68 = 19,008.25/x
  3. Step 3: Cross multiply
    34,923.68x = 48,194.68 × 19,008.25
  4. Step 4: Simplify right side
    34,923.68x = 916,096,358.10
  5. Step 5: Solve for x
    x = 916,096,358.10/34,923.68
  6. Step 6: Final answer
    x = 26,231.38

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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.