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Finding the Fourth Proportional to 74,205.69, 111,309.54 and 26,854.71

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Solution

The fourth proportional to 74,205.69, 111,309.54 and 26,854.71 is: 40,282.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,205.69 : 111,309.54 = 26,854.71 : x
  2. Step 2: Convert to fraction form
    74,205.69/111,309.54 = 26,854.71/x
  3. Step 3: Cross multiply
    74,205.69x = 111,309.54 × 26,854.71
  4. Step 4: Simplify right side
    74,205.69x = 2,989,185,416.93
  5. Step 5: Solve for x
    x = 2,989,185,416.93/74,205.69
  6. Step 6: Final answer
    x = 40,282.43

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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.