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Finding the Fourth Proportional to 38,546.28, 53,224.02 and 29,579.58

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Solution

The fourth proportional to 38,546.28, 53,224.02 and 29,579.58 is: 40,842.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,546.28 : 53,224.02 = 29,579.58 : x
  2. Step 2: Convert to fraction form
    38,546.28/53,224.02 = 29,579.58/x
  3. Step 3: Cross multiply
    38,546.28x = 53,224.02 × 29,579.58
  4. Step 4: Simplify right side
    38,546.28x = 1,574,344,157.51
  5. Step 5: Solve for x
    x = 1,574,344,157.51/38,546.28
  6. Step 6: Final answer
    x = 40,842.96

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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.