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Finding the Fourth Proportional to 37,838.16, 56,757.07 and 11,542.81

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Solution

The fourth proportional to 37,838.16, 56,757.07 and 11,542.81 is: 17,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,838.16 : 56,757.07 = 11,542.81 : x
  2. Step 2: Convert to fraction form
    37,838.16/56,757.07 = 11,542.81/x
  3. Step 3: Cross multiply
    37,838.16x = 56,757.07 × 11,542.81
  4. Step 4: Simplify right side
    37,838.16x = 655,136,075.17
  5. Step 5: Solve for x
    x = 655,136,075.17/37,838.16
  6. Step 6: Final answer
    x = 17,314.16

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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.