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Finding the Fourth Proportional to 38,640.32, 53,298.24 and 30,242.24

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Solution

The fourth proportional to 38,640.32, 53,298.24 and 30,242.24 is: 41,714.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,640.32 : 53,298.24 = 30,242.24 : x
  2. Step 2: Convert to fraction form
    38,640.32/53,298.24 = 30,242.24/x
  3. Step 3: Cross multiply
    38,640.32x = 53,298.24 × 30,242.24
  4. Step 4: Simplify right side
    38,640.32x = 1,611,858,165.66
  5. Step 5: Solve for x
    x = 1,611,858,165.66/38,640.32
  6. Step 6: Final answer
    x = 41,714.41

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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.