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Finding the Fourth Proportional to 116,971.92, 175,416.44 and 38,071.44

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Solution

The fourth proportional to 116,971.92, 175,416.44 and 38,071.44 is: 57,093.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,971.92 : 175,416.44 = 38,071.44 : x
  2. Step 2: Convert to fraction form
    116,971.92/175,416.44 = 38,071.44/x
  3. Step 3: Cross multiply
    116,971.92x = 175,416.44 × 38,071.44
  4. Step 4: Simplify right side
    116,971.92x = 6,678,356,470.47
  5. Step 5: Solve for x
    x = 6,678,356,470.47/116,971.92
  6. Step 6: Final answer
    x = 57,093.67

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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.