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Finding the Fourth Proportional to 40,145.04, 55,402.24 and 22,242

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Solution

The fourth proportional to 40,145.04, 55,402.24 and 22,242 is: 30,695.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,145.04 : 55,402.24 = 22,242 : x
  2. Step 2: Convert to fraction form
    40,145.04/55,402.24 = 22,242/x
  3. Step 3: Cross multiply
    40,145.04x = 55,402.24 × 22,242
  4. Step 4: Simplify right side
    40,145.04x = 1,232,256,622.08
  5. Step 5: Solve for x
    x = 1,232,256,622.08/40,145.04
  6. Step 6: Final answer
    x = 30,695.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.