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Finding the Fourth Proportional to 31,046, 42,846.04 and 17,800.56

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Solution

The fourth proportional to 31,046, 42,846.04 and 17,800.56 is: 24,566.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,046 : 42,846.04 = 17,800.56 : x
  2. Step 2: Convert to fraction form
    31,046/42,846.04 = 17,800.56/x
  3. Step 3: Cross multiply
    31,046x = 42,846.04 × 17,800.56
  4. Step 4: Simplify right side
    31,046x = 762,683,505.78
  5. Step 5: Solve for x
    x = 762,683,505.78/31,046
  6. Step 6: Final answer
    x = 24,566.24

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