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Finding the Fourth Proportional to 68,953.49, 103,471.54 and 29,510.64

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Solution

The fourth proportional to 68,953.49, 103,471.54 and 29,510.64 is: 44,283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,953.49 : 103,471.54 = 29,510.64 : x
  2. Step 2: Convert to fraction form
    68,953.49/103,471.54 = 29,510.64/x
  3. Step 3: Cross multiply
    68,953.49x = 103,471.54 × 29,510.64
  4. Step 4: Simplify right side
    68,953.49x = 3,053,511,367.19
  5. Step 5: Solve for x
    x = 3,053,511,367.19/68,953.49
  6. Step 6: Final answer
    x = 44,283.64

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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.