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Finding the Fourth Proportional to 37,757.50, 56,636.43 and 10,055.50

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Solution

The fourth proportional to 37,757.50, 56,636.43 and 10,055.50 is: 15,083.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,757.50 : 56,636.43 = 10,055.50 : x
  2. Step 2: Convert to fraction form
    37,757.50/56,636.43 = 10,055.50/x
  3. Step 3: Cross multiply
    37,757.50x = 56,636.43 × 10,055.50
  4. Step 4: Simplify right side
    37,757.50x = 569,507,621.87
  5. Step 5: Solve for x
    x = 569,507,621.87/37,757.50
  6. Step 6: Final answer
    x = 15,083.30

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Why These Related Problems?

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