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Finding the Fourth Proportional to 39,041.32, 53,878.02 and 22,274.44

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Solution

The fourth proportional to 39,041.32, 53,878.02 and 22,274.44 is: 30,739.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,041.32 : 53,878.02 = 22,274.44 : x
  2. Step 2: Convert to fraction form
    39,041.32/53,878.02 = 22,274.44/x
  3. Step 3: Cross multiply
    39,041.32x = 53,878.02 × 22,274.44
  4. Step 4: Simplify right side
    39,041.32x = 1,200,102,723.81
  5. Step 5: Solve for x
    x = 1,200,102,723.81/39,041.32
  6. Step 6: Final answer
    x = 30,739.30

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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.