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Finding the Fourth Proportional to 106,775.61, 160,178.13 and 36,645.81

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Solution

The fourth proportional to 106,775.61, 160,178.13 and 36,645.81 is: 54,973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,775.61 : 160,178.13 = 36,645.81 : x
  2. Step 2: Convert to fraction form
    106,775.61/160,178.13 = 36,645.81/x
  3. Step 3: Cross multiply
    106,775.61x = 160,178.13 × 36,645.81
  4. Step 4: Simplify right side
    106,775.61x = 5,869,857,318.14
  5. Step 5: Solve for x
    x = 5,869,857,318.14/106,775.61
  6. Step 6: Final answer
    x = 54,973.77

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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.