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Finding the Fourth Proportional to 38,570.65, 53,227.74 and 22,447.54

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Solution

The fourth proportional to 38,570.65, 53,227.74 and 22,447.54 is: 30,977.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,570.65 : 53,227.74 = 22,447.54 : x
  2. Step 2: Convert to fraction form
    38,570.65/53,227.74 = 22,447.54/x
  3. Step 3: Cross multiply
    38,570.65x = 53,227.74 × 22,447.54
  4. Step 4: Simplify right side
    38,570.65x = 1,194,831,822.76
  5. Step 5: Solve for x
    x = 1,194,831,822.76/38,570.65
  6. Step 6: Final answer
    x = 30,977.75

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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.