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Finding the Fourth Proportional to 27,052.76, 40,583.01 and 8,334.34

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Solution

The fourth proportional to 27,052.76, 40,583.01 and 8,334.34 is: 12,502.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,052.76 : 40,583.01 = 8,334.34 : x
  2. Step 2: Convert to fraction form
    27,052.76/40,583.01 = 8,334.34/x
  3. Step 3: Cross multiply
    27,052.76x = 40,583.01 × 8,334.34
  4. Step 4: Simplify right side
    27,052.76x = 338,232,603.56
  5. Step 5: Solve for x
    x = 338,232,603.56/27,052.76
  6. Step 6: Final answer
    x = 12,502.70

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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.