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Finding the Fourth Proportional to 29,497.31, 40,671.01 and 24,099.83

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Solution

The fourth proportional to 29,497.31, 40,671.01 and 24,099.83 is: 33,228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,497.31 : 40,671.01 = 24,099.83 : x
  2. Step 2: Convert to fraction form
    29,497.31/40,671.01 = 24,099.83/x
  3. Step 3: Cross multiply
    29,497.31x = 40,671.01 × 24,099.83
  4. Step 4: Simplify right side
    29,497.31x = 980,164,406.21
  5. Step 5: Solve for x
    x = 980,164,406.21/29,497.31
  6. Step 6: Final answer
    x = 33,228.94

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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.