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Finding the Fourth Proportional to 76,154.92, 114,229.54 and 19,994.51

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Solution

The fourth proportional to 76,154.92, 114,229.54 and 19,994.51 is: 29,991.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,154.92 : 114,229.54 = 19,994.51 : x
  2. Step 2: Convert to fraction form
    76,154.92/114,229.54 = 19,994.51/x
  3. Step 3: Cross multiply
    76,154.92x = 114,229.54 × 19,994.51
  4. Step 4: Simplify right side
    76,154.92x = 2,283,963,679.83
  5. Step 5: Solve for x
    x = 2,283,963,679.83/76,154.92
  6. Step 6: Final answer
    x = 29,991.02

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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.