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Finding the Fourth Proportional to 83,172.63, 114,778.09 and 47,362.65

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Solution

The fourth proportional to 83,172.63, 114,778.09 and 47,362.65 is: 65,360.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,172.63 : 114,778.09 = 47,362.65 : x
  2. Step 2: Convert to fraction form
    83,172.63/114,778.09 = 47,362.65/x
  3. Step 3: Cross multiply
    83,172.63x = 114,778.09 × 47,362.65
  4. Step 4: Simplify right side
    83,172.63x = 5,436,194,504.34
  5. Step 5: Solve for x
    x = 5,436,194,504.34/83,172.63
  6. Step 6: Final answer
    x = 65,360.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.