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Finding the Fourth Proportional to 29,193.12, 43,796.16 and 8,415

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Solution

The fourth proportional to 29,193.12, 43,796.16 and 8,415 is: 12,624.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,193.12 : 43,796.16 = 8,415 : x
  2. Step 2: Convert to fraction form
    29,193.12/43,796.16 = 8,415/x
  3. Step 3: Cross multiply
    29,193.12x = 43,796.16 × 8,415
  4. Step 4: Simplify right side
    29,193.12x = 368,544,686.40
  5. Step 5: Solve for x
    x = 368,544,686.40/29,193.12
  6. Step 6: Final answer
    x = 12,624.37

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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.