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Finding the Fourth Proportional to 38,486.68, 53,111.46 and 21,719.56

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Solution

The fourth proportional to 38,486.68, 53,111.46 and 21,719.56 is: 29,972.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,486.68 : 53,111.46 = 21,719.56 : x
  2. Step 2: Convert to fraction form
    38,486.68/53,111.46 = 21,719.56/x
  3. Step 3: Cross multiply
    38,486.68x = 53,111.46 × 21,719.56
  4. Step 4: Simplify right side
    38,486.68x = 1,153,557,542.16
  5. Step 5: Solve for x
    x = 1,153,557,542.16/38,486.68
  6. Step 6: Final answer
    x = 29,972.90

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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.