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Finding the Fourth Proportional to 27,303.31, 40,954.98 and 7,581.86

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Solution

The fourth proportional to 27,303.31, 40,954.98 and 7,581.86 is: 11,372.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,303.31 : 40,954.98 = 7,581.86 : x
  2. Step 2: Convert to fraction form
    27,303.31/40,954.98 = 7,581.86/x
  3. Step 3: Cross multiply
    27,303.31x = 40,954.98 × 7,581.86
  4. Step 4: Simplify right side
    27,303.31x = 310,515,068.30
  5. Step 5: Solve for x
    x = 310,515,068.30/27,303.31
  6. Step 6: Final answer
    x = 11,372.80

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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.