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Finding the Fourth Proportional to 37,906, 52,311.36 and 21,140.08

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Solution

The fourth proportional to 37,906, 52,311.36 and 21,140.08 is: 29,173.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,906 : 52,311.36 = 21,140.08 : x
  2. Step 2: Convert to fraction form
    37,906/52,311.36 = 21,140.08/x
  3. Step 3: Cross multiply
    37,906x = 52,311.36 × 21,140.08
  4. Step 4: Simplify right side
    37,906x = 1,105,866,335.31
  5. Step 5: Solve for x
    x = 1,105,866,335.31/37,906
  6. Step 6: Final answer
    x = 29,173.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.