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Finding the Fourth Proportional to 40,302.83, 55,617.84 and 22,399.58

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Solution

The fourth proportional to 40,302.83, 55,617.84 and 22,399.58 is: 30,911.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,302.83 : 55,617.84 = 22,399.58 : x
  2. Step 2: Convert to fraction form
    40,302.83/55,617.84 = 22,399.58/x
  3. Step 3: Cross multiply
    40,302.83x = 55,617.84 × 22,399.58
  4. Step 4: Simplify right side
    40,302.83x = 1,245,816,256.51
  5. Step 5: Solve for x
    x = 1,245,816,256.51/40,302.83
  6. Step 6: Final answer
    x = 30,911.38

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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.