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Finding the Fourth Proportional to 109,878.38, 164,825.78 and 46,691.39

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Solution

The fourth proportional to 109,878.38, 164,825.78 and 46,691.39 is: 70,040.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,878.38 : 164,825.78 = 46,691.39 : x
  2. Step 2: Convert to fraction form
    109,878.38/164,825.78 = 46,691.39/x
  3. Step 3: Cross multiply
    109,878.38x = 164,825.78 × 46,691.39
  4. Step 4: Simplify right side
    109,878.38x = 7,695,944,776.03
  5. Step 5: Solve for x
    x = 7,695,944,776.03/109,878.38
  6. Step 6: Final answer
    x = 70,040.57

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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.