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Finding the Fourth Proportional to 118,523.70, 177,749.10 and 34,291.80

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Solution

The fourth proportional to 118,523.70, 177,749.10 and 34,291.80 is: 51,427.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,523.70 : 177,749.10 = 34,291.80 : x
  2. Step 2: Convert to fraction form
    118,523.70/177,749.10 = 34,291.80/x
  3. Step 3: Cross multiply
    118,523.70x = 177,749.10 × 34,291.80
  4. Step 4: Simplify right side
    118,523.70x = 6,095,336,587.38
  5. Step 5: Solve for x
    x = 6,095,336,587.38/118,523.70
  6. Step 6: Final answer
    x = 51,427.15

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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.