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Finding the Fourth Proportional to 114,894.30, 172,342.61 and 34,945.22

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Solution

The fourth proportional to 114,894.30, 172,342.61 and 34,945.22 is: 52,418.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,894.30 : 172,342.61 = 34,945.22 : x
  2. Step 2: Convert to fraction form
    114,894.30/172,342.61 = 34,945.22/x
  3. Step 3: Cross multiply
    114,894.30x = 172,342.61 × 34,945.22
  4. Step 4: Simplify right side
    114,894.30x = 6,022,549,385.39
  5. Step 5: Solve for x
    x = 6,022,549,385.39/114,894.30
  6. Step 6: Final answer
    x = 52,418.17

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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.