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Finding the Fourth Proportional to 29,265.66, 43,893.81 and 8,203.50

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Solution

The fourth proportional to 29,265.66, 43,893.81 and 8,203.50 is: 12,303.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,265.66 : 43,893.81 = 8,203.50 : x
  2. Step 2: Convert to fraction form
    29,265.66/43,893.81 = 8,203.50/x
  3. Step 3: Cross multiply
    29,265.66x = 43,893.81 × 8,203.50
  4. Step 4: Simplify right side
    29,265.66x = 360,082,870.34
  5. Step 5: Solve for x
    x = 360,082,870.34/29,265.66
  6. Step 6: Final answer
    x = 12,303.94

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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.