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Finding the Fourth Proportional to 20,875.72, 31,314.68 and 5,293.48

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Solution

The fourth proportional to 20,875.72, 31,314.68 and 5,293.48 is: 7,940.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,875.72 : 31,314.68 = 5,293.48 : x
  2. Step 2: Convert to fraction form
    20,875.72/31,314.68 = 5,293.48/x
  3. Step 3: Cross multiply
    20,875.72x = 31,314.68 × 5,293.48
  4. Step 4: Simplify right side
    20,875.72x = 165,763,632.29
  5. Step 5: Solve for x
    x = 165,763,632.29/20,875.72
  6. Step 6: Final answer
    x = 7,940.50

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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.