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Finding the Fourth Proportional to 70,138.68, 96,791.23 and 38,307.58

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Solution

The fourth proportional to 70,138.68, 96,791.23 and 38,307.58 is: 52,864.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,138.68 : 96,791.23 = 38,307.58 : x
  2. Step 2: Convert to fraction form
    70,138.68/96,791.23 = 38,307.58/x
  3. Step 3: Cross multiply
    70,138.68x = 96,791.23 × 38,307.58
  4. Step 4: Simplify right side
    70,138.68x = 3,707,837,786.52
  5. Step 5: Solve for x
    x = 3,707,837,786.52/70,138.68
  6. Step 6: Final answer
    x = 52,864.38

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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.