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Finding the Fourth Proportional to 118,575.94, 177,864.13 and 29,828.84

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Solution

The fourth proportional to 118,575.94, 177,864.13 and 29,828.84 is: 44,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,575.94 : 177,864.13 = 29,828.84 : x
  2. Step 2: Convert to fraction form
    118,575.94/177,864.13 = 29,828.84/x
  3. Step 3: Cross multiply
    118,575.94x = 177,864.13 × 29,828.84
  4. Step 4: Simplify right side
    118,575.94x = 5,305,480,675.51
  5. Step 5: Solve for x
    x = 5,305,480,675.51/118,575.94
  6. Step 6: Final answer
    x = 44,743.32

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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.