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Finding the Fourth Proportional to 38,743.36, 53,490.72 and 23,848

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Solution

The fourth proportional to 38,743.36, 53,490.72 and 23,848 is: 32,925.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,743.36 : 53,490.72 = 23,848 : x
  2. Step 2: Convert to fraction form
    38,743.36/53,490.72 = 23,848/x
  3. Step 3: Cross multiply
    38,743.36x = 53,490.72 × 23,848
  4. Step 4: Simplify right side
    38,743.36x = 1,275,646,690.56
  5. Step 5: Solve for x
    x = 1,275,646,690.56/38,743.36
  6. Step 6: Final answer
    x = 32,925.56

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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.