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Finding the Fourth Proportional to 114,669.80, 172,004.70 and 30,429.80

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Solution

The fourth proportional to 114,669.80, 172,004.70 and 30,429.80 is: 45,644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,669.80 : 172,004.70 = 30,429.80 : x
  2. Step 2: Convert to fraction form
    114,669.80/172,004.70 = 30,429.80/x
  3. Step 3: Cross multiply
    114,669.80x = 172,004.70 × 30,429.80
  4. Step 4: Simplify right side
    114,669.80x = 5,234,068,620.06
  5. Step 5: Solve for x
    x = 5,234,068,620.06/114,669.80
  6. Step 6: Final answer
    x = 45,644.70

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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.