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Finding the Fourth Proportional to 29,872.43, 44,810.94 and 7,686.02

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Solution

The fourth proportional to 29,872.43, 44,810.94 and 7,686.02 is: 11,529.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,872.43 : 44,810.94 = 7,686.02 : x
  2. Step 2: Convert to fraction form
    29,872.43/44,810.94 = 7,686.02/x
  3. Step 3: Cross multiply
    29,872.43x = 44,810.94 × 7,686.02
  4. Step 4: Simplify right side
    29,872.43x = 344,417,557.00
  5. Step 5: Solve for x
    x = 344,417,557.00/29,872.43
  6. Step 6: Final answer
    x = 11,529.61

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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.