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Finding the Fourth Proportional to 114,901.80, 172,368.85 and 30,664.71

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Solution

The fourth proportional to 114,901.80, 172,368.85 and 30,664.71 is: 46,001.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,901.80 : 172,368.85 = 30,664.71 : x
  2. Step 2: Convert to fraction form
    114,901.80/172,368.85 = 30,664.71/x
  3. Step 3: Cross multiply
    114,901.80x = 172,368.85 × 30,664.71
  4. Step 4: Simplify right side
    114,901.80x = 5,285,640,721.62
  5. Step 5: Solve for x
    x = 5,285,640,721.62/114,901.80
  6. Step 6: Final answer
    x = 46,001.37

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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.