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Finding the Fourth Proportional to 109,379.34, 164,063.54 and 42,831.68

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Solution

The fourth proportional to 109,379.34, 164,063.54 and 42,831.68 is: 64,245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,379.34 : 164,063.54 = 42,831.68 : x
  2. Step 2: Convert to fraction form
    109,379.34/164,063.54 = 42,831.68/x
  3. Step 3: Cross multiply
    109,379.34x = 164,063.54 × 42,831.68
  4. Step 4: Simplify right side
    109,379.34x = 7,027,116,010.47
  5. Step 5: Solve for x
    x = 7,027,116,010.47/109,379.34
  6. Step 6: Final answer
    x = 64,245.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.