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Finding the Fourth Proportional to 37,028.40, 51,098.98 and 34,016

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Solution

The fourth proportional to 37,028.40, 51,098.98 and 34,016 is: 46,941.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,028.40 : 51,098.98 = 34,016 : x
  2. Step 2: Convert to fraction form
    37,028.40/51,098.98 = 34,016/x
  3. Step 3: Cross multiply
    37,028.40x = 51,098.98 × 34,016
  4. Step 4: Simplify right side
    37,028.40x = 1,738,182,903.68
  5. Step 5: Solve for x
    x = 1,738,182,903.68/37,028.40
  6. Step 6: Final answer
    x = 46,941.89

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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.