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Finding the Fourth Proportional to 29,870.68, 41,216.88 and 17,293

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Solution

The fourth proportional to 29,870.68, 41,216.88 and 17,293 is: 23,861.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,870.68 : 41,216.88 = 17,293 : x
  2. Step 2: Convert to fraction form
    29,870.68/41,216.88 = 17,293/x
  3. Step 3: Cross multiply
    29,870.68x = 41,216.88 × 17,293
  4. Step 4: Simplify right side
    29,870.68x = 712,763,505.84
  5. Step 5: Solve for x
    x = 712,763,505.84/29,870.68
  6. Step 6: Final answer
    x = 23,861.64

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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.