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Finding the Fourth Proportional to 118,640.82, 177,948.06 and 29,894.32

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Solution

The fourth proportional to 118,640.82, 177,948.06 and 29,894.32 is: 44,838.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,640.82 : 177,948.06 = 29,894.32 : x
  2. Step 2: Convert to fraction form
    118,640.82/177,948.06 = 29,894.32/x
  3. Step 3: Cross multiply
    118,640.82x = 177,948.06 × 29,894.32
  4. Step 4: Simplify right side
    118,640.82x = 5,319,636,249.02
  5. Step 5: Solve for x
    x = 5,319,636,249.02/118,640.82
  6. Step 6: Final answer
    x = 44,838.16

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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.