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Finding the Fourth Proportional to 109,860.55, 164,790.83 and 50,678.71

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Solution

The fourth proportional to 109,860.55, 164,790.83 and 50,678.71 is: 76,018.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,860.55 : 164,790.83 = 50,678.71 : x
  2. Step 2: Convert to fraction form
    109,860.55/164,790.83 = 50,678.71/x
  3. Step 3: Cross multiply
    109,860.55x = 164,790.83 × 50,678.71
  4. Step 4: Simplify right side
    109,860.55x = 8,351,386,684.23
  5. Step 5: Solve for x
    x = 8,351,386,684.23/109,860.55
  6. Step 6: Final answer
    x = 76,018.07

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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.