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Finding the Fourth Proportional to 59,050, 81,489 and 37,829.27

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Solution

The fourth proportional to 59,050, 81,489 and 37,829.27 is: 52,204.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,050 : 81,489 = 37,829.27 : x
  2. Step 2: Convert to fraction form
    59,050/81,489 = 37,829.27/x
  3. Step 3: Cross multiply
    59,050x = 81,489 × 37,829.27
  4. Step 4: Simplify right side
    59,050x = 3,082,669,383.03
  5. Step 5: Solve for x
    x = 3,082,669,383.03/59,050
  6. Step 6: Final answer
    x = 52,204.39

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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.