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Finding the Fourth Proportional to 38,403.50, 57,627.93 and 16,215.44

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Solution

The fourth proportional to 38,403.50, 57,627.93 and 16,215.44 is: 24,332.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,403.50 : 57,627.93 = 16,215.44 : x
  2. Step 2: Convert to fraction form
    38,403.50/57,627.93 = 16,215.44/x
  3. Step 3: Cross multiply
    38,403.50x = 57,627.93 × 16,215.44
  4. Step 4: Simplify right side
    38,403.50x = 934,462,241.24
  5. Step 5: Solve for x
    x = 934,462,241.24/38,403.50
  6. Step 6: Final answer
    x = 24,332.74

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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.