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Finding the Fourth Proportional to 103,952.50, 155,938.47 and 33,812.98

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Solution

The fourth proportional to 103,952.50, 155,938.47 and 33,812.98 is: 50,722.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,952.50 : 155,938.47 = 33,812.98 : x
  2. Step 2: Convert to fraction form
    103,952.50/155,938.47 = 33,812.98/x
  3. Step 3: Cross multiply
    103,952.50x = 155,938.47 × 33,812.98
  4. Step 4: Simplify right side
    103,952.50x = 5,272,744,367.34
  5. Step 5: Solve for x
    x = 5,272,744,367.34/103,952.50
  6. Step 6: Final answer
    x = 50,722.63

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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.