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Finding the Fourth Proportional to 23,832.75, 35,746.11 and 6,303.96

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Solution

The fourth proportional to 23,832.75, 35,746.11 and 6,303.96 is: 9,455.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,832.75 : 35,746.11 = 6,303.96 : x
  2. Step 2: Convert to fraction form
    23,832.75/35,746.11 = 6,303.96/x
  3. Step 3: Cross multiply
    23,832.75x = 35,746.11 × 6,303.96
  4. Step 4: Simplify right side
    23,832.75x = 225,342,047.60
  5. Step 5: Solve for x
    x = 225,342,047.60/23,832.75
  6. Step 6: Final answer
    x = 9,455.14

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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.