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Finding the Fourth Proportional to 109,393.46, 164,090.20 and 35,521.46

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Solution

The fourth proportional to 109,393.46, 164,090.20 and 35,521.46 is: 53,282.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,393.46 : 164,090.20 = 35,521.46 : x
  2. Step 2: Convert to fraction form
    109,393.46/164,090.20 = 35,521.46/x
  3. Step 3: Cross multiply
    109,393.46x = 164,090.20 × 35,521.46
  4. Step 4: Simplify right side
    109,393.46x = 5,828,723,475.69
  5. Step 5: Solve for x
    x = 5,828,723,475.69/109,393.46
  6. Step 6: Final answer
    x = 53,282.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.