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Finding the Fourth Proportional to 37,852.30, 52,236.12 and 21,085.30

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Solution

The fourth proportional to 37,852.30, 52,236.12 and 21,085.30 is: 29,097.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,852.30 : 52,236.12 = 21,085.30 : x
  2. Step 2: Convert to fraction form
    37,852.30/52,236.12 = 21,085.30/x
  3. Step 3: Cross multiply
    37,852.30x = 52,236.12 × 21,085.30
  4. Step 4: Simplify right side
    37,852.30x = 1,101,414,261.04
  5. Step 5: Solve for x
    x = 1,101,414,261.04/37,852.30
  6. Step 6: Final answer
    x = 29,097.68

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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.