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Finding the Fourth Proportional to 109,494.32, 164,241.48 and 26,388.32

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Solution

The fourth proportional to 109,494.32, 164,241.48 and 26,388.32 is: 39,582.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,494.32 : 164,241.48 = 26,388.32 : x
  2. Step 2: Convert to fraction form
    109,494.32/164,241.48 = 26,388.32/x
  3. Step 3: Cross multiply
    109,494.32x = 164,241.48 × 26,388.32
  4. Step 4: Simplify right side
    109,494.32x = 4,334,056,731.51
  5. Step 5: Solve for x
    x = 4,334,056,731.51/109,494.32
  6. Step 6: Final answer
    x = 39,582.48

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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.