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Finding the Fourth Proportional to 27,083.08, 40,631.27 and 9,314.00

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Solution

The fourth proportional to 27,083.08, 40,631.27 and 9,314.00 is: 13,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,083.08 : 40,631.27 = 9,314.00 : x
  2. Step 2: Convert to fraction form
    27,083.08/40,631.27 = 9,314.00/x
  3. Step 3: Cross multiply
    27,083.08x = 40,631.27 × 9,314.00
  4. Step 4: Simplify right side
    27,083.08x = 378,439,832.36
  5. Step 5: Solve for x
    x = 378,439,832.36/27,083.08
  6. Step 6: Final answer
    x = 13,973.30

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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.