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Finding the Fourth Proportional to 52,891.81, 79,339.61 and 17,831.77

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Solution

The fourth proportional to 52,891.81, 79,339.61 and 17,831.77 is: 26,748.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,891.81 : 79,339.61 = 17,831.77 : x
  2. Step 2: Convert to fraction form
    52,891.81/79,339.61 = 17,831.77/x
  3. Step 3: Cross multiply
    52,891.81x = 79,339.61 × 17,831.77
  4. Step 4: Simplify right side
    52,891.81x = 1,414,765,677.41
  5. Step 5: Solve for x
    x = 1,414,765,677.41/52,891.81
  6. Step 6: Final answer
    x = 26,748.29

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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.