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Finding the Fourth Proportional to 27,003, 40,500.74 and 7,282.74

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Solution

The fourth proportional to 27,003, 40,500.74 and 7,282.74 is: 10,923.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,003 : 40,500.74 = 7,282.74 : x
  2. Step 2: Convert to fraction form
    27,003/40,500.74 = 7,282.74/x
  3. Step 3: Cross multiply
    27,003x = 40,500.74 × 7,282.74
  4. Step 4: Simplify right side
    27,003x = 294,956,359.23
  5. Step 5: Solve for x
    x = 294,956,359.23/27,003
  6. Step 6: Final answer
    x = 10,923.10

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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.