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Finding the Fourth Proportional to 27,066.50, 40,594.96 and 7,346.59

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Solution

The fourth proportional to 27,066.50, 40,594.96 and 7,346.59 is: 11,018.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,066.50 : 40,594.96 = 7,346.59 : x
  2. Step 2: Convert to fraction form
    27,066.50/40,594.96 = 7,346.59/x
  3. Step 3: Cross multiply
    27,066.50x = 40,594.96 × 7,346.59
  4. Step 4: Simplify right side
    27,066.50x = 298,234,527.19
  5. Step 5: Solve for x
    x = 298,234,527.19/27,066.50
  6. Step 6: Final answer
    x = 11,018.58

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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.