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Finding the Fourth Proportional to 37,738.12, 52,070.16 and 21,822.16

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Solution

The fourth proportional to 37,738.12, 52,070.16 and 21,822.16 is: 30,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,738.12 : 52,070.16 = 21,822.16 : x
  2. Step 2: Convert to fraction form
    37,738.12/52,070.16 = 21,822.16/x
  3. Step 3: Cross multiply
    37,738.12x = 52,070.16 × 21,822.16
  4. Step 4: Simplify right side
    37,738.12x = 1,136,283,362.75
  5. Step 5: Solve for x
    x = 1,136,283,362.75/37,738.12
  6. Step 6: Final answer
    x = 30,109.70

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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.