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Finding the Fourth Proportional to 37,730.96, 52,075.14 and 21,825.08

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Solution

The fourth proportional to 37,730.96, 52,075.14 and 21,825.08 is: 30,122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,730.96 : 52,075.14 = 21,825.08 : x
  2. Step 2: Convert to fraction form
    37,730.96/52,075.14 = 21,825.08/x
  3. Step 3: Cross multiply
    37,730.96x = 52,075.14 × 21,825.08
  4. Step 4: Simplify right side
    37,730.96x = 1,136,544,096.51
  5. Step 5: Solve for x
    x = 1,136,544,096.51/37,730.96
  6. Step 6: Final answer
    x = 30,122.32

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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.