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Finding the Fourth Proportional to 29,891.64, 41,246.64 and 17,957.10

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Solution

The fourth proportional to 29,891.64, 41,246.64 and 17,957.10 is: 24,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,891.64 : 41,246.64 = 17,957.10 : x
  2. Step 2: Convert to fraction form
    29,891.64/41,246.64 = 17,957.10/x
  3. Step 3: Cross multiply
    29,891.64x = 41,246.64 × 17,957.10
  4. Step 4: Simplify right side
    29,891.64x = 740,670,039.14
  5. Step 5: Solve for x
    x = 740,670,039.14/29,891.64
  6. Step 6: Final answer
    x = 24,778.50

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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.