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Finding the Fourth Proportional to 118,641.32, 177,948.81 and 29,894.82

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Solution

The fourth proportional to 118,641.32, 177,948.81 and 29,894.82 is: 44,838.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,641.32 : 177,948.81 = 29,894.82 : x
  2. Step 2: Convert to fraction form
    118,641.32/177,948.81 = 29,894.82/x
  3. Step 3: Cross multiply
    118,641.32x = 177,948.81 × 29,894.82
  4. Step 4: Simplify right side
    118,641.32x = 5,319,747,644.16
  5. Step 5: Solve for x
    x = 5,319,747,644.16/118,641.32
  6. Step 6: Final answer
    x = 44,838.91

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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.