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Finding the Fourth Proportional to 40,421.75, 55,784.63 and 27,824.63

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Solution

The fourth proportional to 40,421.75, 55,784.63 and 27,824.63 is: 38,399.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,421.75 : 55,784.63 = 27,824.63 : x
  2. Step 2: Convert to fraction form
    40,421.75/55,784.63 = 27,824.63/x
  3. Step 3: Cross multiply
    40,421.75x = 55,784.63 × 27,824.63
  4. Step 4: Simplify right side
    40,421.75x = 1,552,186,480.08
  5. Step 5: Solve for x
    x = 1,552,186,480.08/40,421.75
  6. Step 6: Final answer
    x = 38,399.79

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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.