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Finding the Fourth Proportional to 109,909.78, 164,886.54 and 35,027.52

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Solution

The fourth proportional to 109,909.78, 164,886.54 and 35,027.52 is: 52,548.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,909.78 : 164,886.54 = 35,027.52 : x
  2. Step 2: Convert to fraction form
    109,909.78/164,886.54 = 35,027.52/x
  3. Step 3: Cross multiply
    109,909.78x = 164,886.54 × 35,027.52
  4. Step 4: Simplify right side
    109,909.78x = 5,775,566,577.58
  5. Step 5: Solve for x
    x = 5,775,566,577.58/109,909.78
  6. Step 6: Final answer
    x = 52,548.25

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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.