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Finding the Fourth Proportional to 42,644.68, 58,850.04 and 24,740

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Solution

The fourth proportional to 42,644.68, 58,850.04 and 24,740 is: 34,141.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,644.68 : 58,850.04 = 24,740 : x
  2. Step 2: Convert to fraction form
    42,644.68/58,850.04 = 24,740/x
  3. Step 3: Cross multiply
    42,644.68x = 58,850.04 × 24,740
  4. Step 4: Simplify right side
    42,644.68x = 1,455,949,989.60
  5. Step 5: Solve for x
    x = 1,455,949,989.60/42,644.68
  6. Step 6: Final answer
    x = 34,141.42

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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.