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Finding the Fourth Proportional to 116,951.92, 175,386.48 and 38,051.44

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Solution

The fourth proportional to 116,951.92, 175,386.48 and 38,051.44 is: 57,063.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,951.92 : 175,386.48 = 38,051.44 : x
  2. Step 2: Convert to fraction form
    116,951.92/175,386.48 = 38,051.44/x
  3. Step 3: Cross multiply
    116,951.92x = 175,386.48 × 38,051.44
  4. Step 4: Simplify right side
    116,951.92x = 6,673,708,120.53
  5. Step 5: Solve for x
    x = 6,673,708,120.53/116,951.92
  6. Step 6: Final answer
    x = 57,063.69

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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.