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Finding the Fourth Proportional to 40,145.16, 55,400.70 and 22,240.54

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Solution

The fourth proportional to 40,145.16, 55,400.70 and 22,240.54 is: 30,692.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,145.16 : 55,400.70 = 22,240.54 : x
  2. Step 2: Convert to fraction form
    40,145.16/55,400.70 = 22,240.54/x
  3. Step 3: Cross multiply
    40,145.16x = 55,400.70 × 22,240.54
  4. Step 4: Simplify right side
    40,145.16x = 1,232,141,484.38
  5. Step 5: Solve for x
    x = 1,232,141,484.38/40,145.16
  6. Step 6: Final answer
    x = 30,692.16

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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.