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Finding the Fourth Proportional to 40,513.56, 55,906.38 and 22,607.16

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Solution

The fourth proportional to 40,513.56, 55,906.38 and 22,607.16 is: 31,196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,513.56 : 55,906.38 = 22,607.16 : x
  2. Step 2: Convert to fraction form
    40,513.56/55,906.38 = 22,607.16/x
  3. Step 3: Cross multiply
    40,513.56x = 55,906.38 × 22,607.16
  4. Step 4: Simplify right side
    40,513.56x = 1,263,884,477.68
  5. Step 5: Solve for x
    x = 1,263,884,477.68/40,513.56
  6. Step 6: Final answer
    x = 31,196.58

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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.