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Finding the Fourth Proportional to 36,968.50, 55,428.49 and 13,264.16

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Solution

The fourth proportional to 36,968.50, 55,428.49 and 13,264.16 is: 19,887.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,968.50 : 55,428.49 = 13,264.16 : x
  2. Step 2: Convert to fraction form
    36,968.50/55,428.49 = 13,264.16/x
  3. Step 3: Cross multiply
    36,968.50x = 55,428.49 × 13,264.16
  4. Step 4: Simplify right side
    36,968.50x = 735,212,080.70
  5. Step 5: Solve for x
    x = 735,212,080.70/36,968.50
  6. Step 6: Final answer
    x = 19,887.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.