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Finding the Fourth Proportional to 20,045.92, 30,071.76 and 6,196

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Solution

The fourth proportional to 20,045.92, 30,071.76 and 6,196 is: 9,294.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,045.92 : 30,071.76 = 6,196 : x
  2. Step 2: Convert to fraction form
    20,045.92/30,071.76 = 6,196/x
  3. Step 3: Cross multiply
    20,045.92x = 30,071.76 × 6,196
  4. Step 4: Simplify right side
    20,045.92x = 186,324,624.96
  5. Step 5: Solve for x
    x = 186,324,624.96/20,045.92
  6. Step 6: Final answer
    x = 9,294.89

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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.