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Finding the Fourth Proportional to 106,593.84, 159,890.76 and 36,473.76

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Solution

The fourth proportional to 106,593.84, 159,890.76 and 36,473.76 is: 54,710.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,593.84 : 159,890.76 = 36,473.76 : x
  2. Step 2: Convert to fraction form
    106,593.84/159,890.76 = 36,473.76/x
  3. Step 3: Cross multiply
    106,593.84x = 159,890.76 × 36,473.76
  4. Step 4: Simplify right side
    106,593.84x = 5,831,817,206.46
  5. Step 5: Solve for x
    x = 5,831,817,206.46/106,593.84
  6. Step 6: Final answer
    x = 54,710.64

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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.