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Finding the Fourth Proportional to 47,684.81, 65,816.99 and 27,553.38

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Solution

The fourth proportional to 47,684.81, 65,816.99 and 27,553.38 is: 38,030.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,684.81 : 65,816.99 = 27,553.38 : x
  2. Step 2: Convert to fraction form
    47,684.81/65,816.99 = 27,553.38/x
  3. Step 3: Cross multiply
    47,684.81x = 65,816.99 × 27,553.38
  4. Step 4: Simplify right side
    47,684.81x = 1,813,480,398.16
  5. Step 5: Solve for x
    x = 1,813,480,398.16/47,684.81
  6. Step 6: Final answer
    x = 38,030.57

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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.