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Finding the Fourth Proportional to 27,054.68, 40,582.02 and 7,333.24

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Solution

The fourth proportional to 27,054.68, 40,582.02 and 7,333.24 is: 10,999.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,054.68 : 40,582.02 = 7,333.24 : x
  2. Step 2: Convert to fraction form
    27,054.68/40,582.02 = 7,333.24/x
  3. Step 3: Cross multiply
    27,054.68x = 40,582.02 × 7,333.24
  4. Step 4: Simplify right side
    27,054.68x = 297,597,653.23
  5. Step 5: Solve for x
    x = 297,597,653.23/27,054.68
  6. Step 6: Final answer
    x = 10,999.86

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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.