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Finding the Fourth Proportional to 91,202.66, 136,744.77 and 37,880

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Solution

The fourth proportional to 91,202.66, 136,744.77 and 37,880 is: 56,795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,202.66 : 136,744.77 = 37,880 : x
  2. Step 2: Convert to fraction form
    91,202.66/136,744.77 = 37,880/x
  3. Step 3: Cross multiply
    91,202.66x = 136,744.77 × 37,880
  4. Step 4: Simplify right side
    91,202.66x = 5,179,891,887.60
  5. Step 5: Solve for x
    x = 5,179,891,887.60/91,202.66
  6. Step 6: Final answer
    x = 56,795.40

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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.