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Finding the Fourth Proportional to 114,107.79, 171,171.54 and 29,867.61

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Solution

The fourth proportional to 114,107.79, 171,171.54 and 29,867.61 is: 44,803.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,107.79 : 171,171.54 = 29,867.61 : x
  2. Step 2: Convert to fraction form
    114,107.79/171,171.54 = 29,867.61/x
  3. Step 3: Cross multiply
    114,107.79x = 171,171.54 × 29,867.61
  4. Step 4: Simplify right side
    114,107.79x = 5,112,484,799.82
  5. Step 5: Solve for x
    x = 5,112,484,799.82/114,107.79
  6. Step 6: Final answer
    x = 44,803.99

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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.