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Finding the Fourth Proportional to 109,393.60, 164,090.40 and 35,521.60

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Solution

The fourth proportional to 109,393.60, 164,090.40 and 35,521.60 is: 53,282.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,393.60 : 164,090.40 = 35,521.60 : x
  2. Step 2: Convert to fraction form
    109,393.60/164,090.40 = 35,521.60/x
  3. Step 3: Cross multiply
    109,393.60x = 164,090.40 × 35,521.60
  4. Step 4: Simplify right side
    109,393.60x = 5,828,753,552.64
  5. Step 5: Solve for x
    x = 5,828,753,552.64/109,393.60
  6. Step 6: Final answer
    x = 53,282.40

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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.