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Finding the Fourth Proportional to 38,468.40, 53,007.64 and 28,380.92

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Solution

The fourth proportional to 38,468.40, 53,007.64 and 28,380.92 is: 39,107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,468.40 : 53,007.64 = 28,380.92 : x
  2. Step 2: Convert to fraction form
    38,468.40/53,007.64 = 28,380.92/x
  3. Step 3: Cross multiply
    38,468.40x = 53,007.64 × 28,380.92
  4. Step 4: Simplify right side
    38,468.40x = 1,504,405,590.23
  5. Step 5: Solve for x
    x = 1,504,405,590.23/38,468.40
  6. Step 6: Final answer
    x = 39,107.57

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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.