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Finding the Fourth Proportional to 34,786.19, 48,004.97 and 19,678.53

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Solution

The fourth proportional to 34,786.19, 48,004.97 and 19,678.53 is: 27,156.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,786.19 : 48,004.97 = 19,678.53 : x
  2. Step 2: Convert to fraction form
    34,786.19/48,004.97 = 19,678.53/x
  3. Step 3: Cross multiply
    34,786.19x = 48,004.97 × 19,678.53
  4. Step 4: Simplify right side
    34,786.19x = 944,667,323.92
  5. Step 5: Solve for x
    x = 944,667,323.92/34,786.19
  6. Step 6: Final answer
    x = 27,156.39

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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.