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Finding the Fourth Proportional to 103,463.19, 155,206.93 and 36,912.78

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Solution

The fourth proportional to 103,463.19, 155,206.93 and 36,912.78 is: 55,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,463.19 : 155,206.93 = 36,912.78 : x
  2. Step 2: Convert to fraction form
    103,463.19/155,206.93 = 36,912.78/x
  3. Step 3: Cross multiply
    103,463.19x = 155,206.93 × 36,912.78
  4. Step 4: Simplify right side
    103,463.19x = 5,729,119,261.57
  5. Step 5: Solve for x
    x = 5,729,119,261.57/103,463.19
  6. Step 6: Final answer
    x = 55,373.50

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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.