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Finding the Fourth Proportional to 30,722.20, 46,071.78 and 13,183

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Solution

The fourth proportional to 30,722.20, 46,071.78 and 13,183 is: 19,769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,722.20 : 46,071.78 = 13,183 : x
  2. Step 2: Convert to fraction form
    30,722.20/46,071.78 = 13,183/x
  3. Step 3: Cross multiply
    30,722.20x = 46,071.78 × 13,183
  4. Step 4: Simplify right side
    30,722.20x = 607,364,275.74
  5. Step 5: Solve for x
    x = 607,364,275.74/30,722.20
  6. Step 6: Final answer
    x = 19,769.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.