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Finding the Fourth Proportional to 38,441.52, 53,096.40 and 27,814.32

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Solution

The fourth proportional to 38,441.52, 53,096.40 and 27,814.32 is: 38,417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,441.52 : 53,096.40 = 27,814.32 : x
  2. Step 2: Convert to fraction form
    38,441.52/53,096.40 = 27,814.32/x
  3. Step 3: Cross multiply
    38,441.52x = 53,096.40 × 27,814.32
  4. Step 4: Simplify right side
    38,441.52x = 1,476,840,260.45
  5. Step 5: Solve for x
    x = 1,476,840,260.45/38,441.52
  6. Step 6: Final answer
    x = 38,417.84

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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.