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Finding the Fourth Proportional to 24,321, 36,481.50 and 5,853

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Solution

The fourth proportional to 24,321, 36,481.50 and 5,853 is: 8,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,321 : 36,481.50 = 5,853 : x
  2. Step 2: Convert to fraction form
    24,321/36,481.50 = 5,853/x
  3. Step 3: Cross multiply
    24,321x = 36,481.50 × 5,853
  4. Step 4: Simplify right side
    24,321x = 213,526,219.50
  5. Step 5: Solve for x
    x = 213,526,219.50/24,321
  6. Step 6: Final answer
    x = 8,779.50

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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.