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Finding the Fourth Proportional to 114,663.91, 171,979.16 and 30,429.17

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Solution

The fourth proportional to 114,663.91, 171,979.16 and 30,429.17 is: 45,639.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,663.91 : 171,979.16 = 30,429.17 : x
  2. Step 2: Convert to fraction form
    114,663.91/171,979.16 = 30,429.17/x
  3. Step 3: Cross multiply
    114,663.91x = 171,979.16 × 30,429.17
  4. Step 4: Simplify right side
    114,663.91x = 5,233,183,373.90
  5. Step 5: Solve for x
    x = 5,233,183,373.90/114,663.91
  6. Step 6: Final answer
    x = 45,639.33

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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.