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Finding the Fourth Proportional to 38,441.50, 57,658.32 and 10,360.42

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Solution

The fourth proportional to 38,441.50, 57,658.32 and 10,360.42 is: 15,539.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,441.50 : 57,658.32 = 10,360.42 : x
  2. Step 2: Convert to fraction form
    38,441.50/57,658.32 = 10,360.42/x
  3. Step 3: Cross multiply
    38,441.50x = 57,658.32 × 10,360.42
  4. Step 4: Simplify right side
    38,441.50x = 597,364,411.69
  5. Step 5: Solve for x
    x = 597,364,411.69/38,441.50
  6. Step 6: Final answer
    x = 15,539.57

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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.