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Finding the Fourth Proportional to 38,213.32, 57,320.40 and 11,559.58

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Solution

The fourth proportional to 38,213.32, 57,320.40 and 11,559.58 is: 17,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,213.32 : 57,320.40 = 11,559.58 : x
  2. Step 2: Convert to fraction form
    38,213.32/57,320.40 = 11,559.58/x
  3. Step 3: Cross multiply
    38,213.32x = 57,320.40 × 11,559.58
  4. Step 4: Simplify right side
    38,213.32x = 662,599,749.43
  5. Step 5: Solve for x
    x = 662,599,749.43/38,213.32
  6. Step 6: Final answer
    x = 17,339.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.