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Finding the Fourth Proportional to 27,131.32, 40,701.06 and 9,601.32

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Solution

The fourth proportional to 27,131.32, 40,701.06 and 9,601.32 is: 14,403.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,131.32 : 40,701.06 = 9,601.32 : x
  2. Step 2: Convert to fraction form
    27,131.32/40,701.06 = 9,601.32/x
  3. Step 3: Cross multiply
    27,131.32x = 40,701.06 × 9,601.32
  4. Step 4: Simplify right side
    27,131.32x = 390,783,901.40
  5. Step 5: Solve for x
    x = 390,783,901.40/27,131.32
  6. Step 6: Final answer
    x = 14,403.42

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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.