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Finding the Fourth Proportional to 29,803, 41,126.67 and 17,864.02

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Solution

The fourth proportional to 29,803, 41,126.67 and 17,864.02 is: 24,651.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,803 : 41,126.67 = 17,864.02 : x
  2. Step 2: Convert to fraction form
    29,803/41,126.67 = 17,864.02/x
  3. Step 3: Cross multiply
    29,803x = 41,126.67 × 17,864.02
  4. Step 4: Simplify right side
    29,803x = 734,687,655.41
  5. Step 5: Solve for x
    x = 734,687,655.41/29,803
  6. Step 6: Final answer
    x = 24,651.47

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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.