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Finding the Fourth Proportional to 38,738.71, 53,460.48 and 21,744.01

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Solution

The fourth proportional to 38,738.71, 53,460.48 and 21,744.01 is: 30,007.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,738.71 : 53,460.48 = 21,744.01 : x
  2. Step 2: Convert to fraction form
    38,738.71/53,460.48 = 21,744.01/x
  3. Step 3: Cross multiply
    38,738.71x = 53,460.48 × 21,744.01
  4. Step 4: Simplify right side
    38,738.71x = 1,162,445,211.72
  5. Step 5: Solve for x
    x = 1,162,445,211.72/38,738.71
  6. Step 6: Final answer
    x = 30,007.33

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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.