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Finding the Fourth Proportional to 27,164.39, 40,746.65 and 7,445.88

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Solution

The fourth proportional to 27,164.39, 40,746.65 and 7,445.88 is: 11,168.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,164.39 : 40,746.65 = 7,445.88 : x
  2. Step 2: Convert to fraction form
    27,164.39/40,746.65 = 7,445.88/x
  3. Step 3: Cross multiply
    27,164.39x = 40,746.65 × 7,445.88
  4. Step 4: Simplify right side
    27,164.39x = 303,394,629.07
  5. Step 5: Solve for x
    x = 303,394,629.07/27,164.39
  6. Step 6: Final answer
    x = 11,168.84

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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.