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Finding the Fourth Proportional to 65,674.68, 90,632.16 and 37,383

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Solution

The fourth proportional to 65,674.68, 90,632.16 and 37,383 is: 51,589.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,674.68 : 90,632.16 = 37,383 : x
  2. Step 2: Convert to fraction form
    65,674.68/90,632.16 = 37,383/x
  3. Step 3: Cross multiply
    65,674.68x = 90,632.16 × 37,383
  4. Step 4: Simplify right side
    65,674.68x = 3,388,102,037.28
  5. Step 5: Solve for x
    x = 3,388,102,037.28/65,674.68
  6. Step 6: Final answer
    x = 51,589.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.