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Finding the Fourth Proportional to 103,866, 155,824.92 and 29,994

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Solution

The fourth proportional to 103,866, 155,824.92 and 29,994 is: 44,998.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,866 : 155,824.92 = 29,994 : x
  2. Step 2: Convert to fraction form
    103,866/155,824.92 = 29,994/x
  3. Step 3: Cross multiply
    103,866x = 155,824.92 × 29,994
  4. Step 4: Simplify right side
    103,866x = 4,673,812,650.48
  5. Step 5: Solve for x
    x = 4,673,812,650.48/103,866
  6. Step 6: Final answer
    x = 44,998.49

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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.