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Finding the Fourth Proportional to 106,539.84, 159,809.76 and 36,419.76

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Solution

The fourth proportional to 106,539.84, 159,809.76 and 36,419.76 is: 54,629.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,539.84 : 159,809.76 = 36,419.76 : x
  2. Step 2: Convert to fraction form
    106,539.84/159,809.76 = 36,419.76/x
  3. Step 3: Cross multiply
    106,539.84x = 159,809.76 × 36,419.76
  4. Step 4: Simplify right side
    106,539.84x = 5,820,233,104.86
  5. Step 5: Solve for x
    x = 5,820,233,104.86/106,539.84
  6. Step 6: Final answer
    x = 54,629.64

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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.