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Finding the Fourth Proportional to 73,821.60, 110,678.76 and 29,435.04

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Solution

The fourth proportional to 73,821.60, 110,678.76 and 29,435.04 is: 44,131.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,821.60 : 110,678.76 = 29,435.04 : x
  2. Step 2: Convert to fraction form
    73,821.60/110,678.76 = 29,435.04/x
  3. Step 3: Cross multiply
    73,821.60x = 110,678.76 × 29,435.04
  4. Step 4: Simplify right side
    73,821.60x = 3,257,833,727.75
  5. Step 5: Solve for x
    x = 3,257,833,727.75/73,821.60
  6. Step 6: Final answer
    x = 44,131.17

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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.