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Finding the Fourth Proportional to 42,827.46, 64,241.46 and 11,662.98

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Solution

The fourth proportional to 42,827.46, 64,241.46 and 11,662.98 is: 17,494.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,827.46 : 64,241.46 = 11,662.98 : x
  2. Step 2: Convert to fraction form
    42,827.46/64,241.46 = 11,662.98/x
  3. Step 3: Cross multiply
    42,827.46x = 64,241.46 × 11,662.98
  4. Step 4: Simplify right side
    42,827.46x = 749,246,863.15
  5. Step 5: Solve for x
    x = 749,246,863.15/42,827.46
  6. Step 6: Final answer
    x = 17,494.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.