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Finding the Fourth Proportional to 38,589.40, 53,169.78 and 31,007.80

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Solution

The fourth proportional to 38,589.40, 53,169.78 and 31,007.80 is: 42,723.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,589.40 : 53,169.78 = 31,007.80 : x
  2. Step 2: Convert to fraction form
    38,589.40/53,169.78 = 31,007.80/x
  3. Step 3: Cross multiply
    38,589.40x = 53,169.78 × 31,007.80
  4. Step 4: Simplify right side
    38,589.40x = 1,648,677,904.28
  5. Step 5: Solve for x
    x = 1,648,677,904.28/38,589.40
  6. Step 6: Final answer
    x = 42,723.60

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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.