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Finding the Fourth Proportional to 29,953.50, 41,335.83 and 16,705.50

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Solution

The fourth proportional to 29,953.50, 41,335.83 and 16,705.50 is: 23,053.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,953.50 : 41,335.83 = 16,705.50 : x
  2. Step 2: Convert to fraction form
    29,953.50/41,335.83 = 16,705.50/x
  3. Step 3: Cross multiply
    29,953.50x = 41,335.83 × 16,705.50
  4. Step 4: Simplify right side
    29,953.50x = 690,535,708.07
  5. Step 5: Solve for x
    x = 690,535,708.07/29,953.50
  6. Step 6: Final answer
    x = 23,053.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.