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Finding the Fourth Proportional to 29,576.98, 40,815.63 and 16,148.34

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Solution

The fourth proportional to 29,576.98, 40,815.63 and 16,148.34 is: 22,284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,576.98 : 40,815.63 = 16,148.34 : x
  2. Step 2: Convert to fraction form
    29,576.98/40,815.63 = 16,148.34/x
  3. Step 3: Cross multiply
    29,576.98x = 40,815.63 × 16,148.34
  4. Step 4: Simplify right side
    29,576.98x = 659,104,670.55
  5. Step 5: Solve for x
    x = 659,104,670.55/29,576.98
  6. Step 6: Final answer
    x = 22,284.38

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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.