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Finding the Fourth Proportional to 109,770.72, 164,656.08 and 26,664.16

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Solution

The fourth proportional to 109,770.72, 164,656.08 and 26,664.16 is: 39,996.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,770.72 : 164,656.08 = 26,664.16 : x
  2. Step 2: Convert to fraction form
    109,770.72/164,656.08 = 26,664.16/x
  3. Step 3: Cross multiply
    109,770.72x = 164,656.08 × 26,664.16
  4. Step 4: Simplify right side
    109,770.72x = 4,390,416,062.09
  5. Step 5: Solve for x
    x = 4,390,416,062.09/109,770.72
  6. Step 6: Final answer
    x = 39,996.24

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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.