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Finding the Fourth Proportional to 29,659.29, 44,457.94 and 9,921.61

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Solution

The fourth proportional to 29,659.29, 44,457.94 and 9,921.61 is: 14,872.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,659.29 : 44,457.94 = 9,921.61 : x
  2. Step 2: Convert to fraction form
    29,659.29/44,457.94 = 9,921.61/x
  3. Step 3: Cross multiply
    29,659.29x = 44,457.94 × 9,921.61
  4. Step 4: Simplify right side
    29,659.29x = 441,094,342.08
  5. Step 5: Solve for x
    x = 441,094,342.08/29,659.29
  6. Step 6: Final answer
    x = 14,872.05

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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.