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Finding the Fourth Proportional to 37,842, 52,223.58 and 21,075

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Solution

The fourth proportional to 37,842, 52,223.58 and 21,075 is: 29,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,842 : 52,223.58 = 21,075 : x
  2. Step 2: Convert to fraction form
    37,842/52,223.58 = 21,075/x
  3. Step 3: Cross multiply
    37,842x = 52,223.58 × 21,075
  4. Step 4: Simplify right side
    37,842x = 1,100,611,948.50
  5. Step 5: Solve for x
    x = 1,100,611,948.50/37,842
  6. Step 6: Final answer
    x = 29,084.40

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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.