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Finding the Fourth Proportional to 103,154.53, 154,680.75 and 36,584.68

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Solution

The fourth proportional to 103,154.53, 154,680.75 and 36,584.68 is: 54,858.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,154.53 : 154,680.75 = 36,584.68 : x
  2. Step 2: Convert to fraction form
    103,154.53/154,680.75 = 36,584.68/x
  3. Step 3: Cross multiply
    103,154.53x = 154,680.75 × 36,584.68
  4. Step 4: Simplify right side
    103,154.53x = 5,658,945,740.91
  5. Step 5: Solve for x
    x = 5,658,945,740.91/103,154.53
  6. Step 6: Final answer
    x = 54,858.92

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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.