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Finding the Fourth Proportional to 38,642.32, 53,301 and 30,244.24

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Solution

The fourth proportional to 38,642.32, 53,301 and 30,244.24 is: 41,717.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,642.32 : 53,301 = 30,244.24 : x
  2. Step 2: Convert to fraction form
    38,642.32/53,301 = 30,244.24/x
  3. Step 3: Cross multiply
    38,642.32x = 53,301 × 30,244.24
  4. Step 4: Simplify right side
    38,642.32x = 1,612,048,236.24
  5. Step 5: Solve for x
    x = 1,612,048,236.24/38,642.32
  6. Step 6: Final answer
    x = 41,717.17

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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.