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Finding the Fourth Proportional to 37,842.40, 52,222.72 and 21,075.44

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Solution

The fourth proportional to 37,842.40, 52,222.72 and 21,075.44 is: 29,084.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,842.40 : 52,222.72 = 21,075.44 : x
  2. Step 2: Convert to fraction form
    37,842.40/52,222.72 = 21,075.44/x
  3. Step 3: Cross multiply
    37,842.40x = 52,222.72 × 21,075.44
  4. Step 4: Simplify right side
    37,842.40x = 1,100,616,802.00
  5. Step 5: Solve for x
    x = 1,100,616,802.00/37,842.40
  6. Step 6: Final answer
    x = 29,084.22

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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.