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Finding the Fourth Proportional to 118,424.58, 177,664.83 and 38,462.30

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Solution

The fourth proportional to 118,424.58, 177,664.83 and 38,462.30 is: 57,702.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,424.58 : 177,664.83 = 38,462.30 : x
  2. Step 2: Convert to fraction form
    118,424.58/177,664.83 = 38,462.30/x
  3. Step 3: Cross multiply
    118,424.58x = 177,664.83 × 38,462.30
  4. Step 4: Simplify right side
    118,424.58x = 6,833,397,990.91
  5. Step 5: Solve for x
    x = 6,833,397,990.91/118,424.58
  6. Step 6: Final answer
    x = 57,702.53

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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.