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Finding the Fourth Proportional to 47,954.94, 66,176.54 and 27,810.56

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Solution

The fourth proportional to 47,954.94, 66,176.54 and 27,810.56 is: 38,377.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,954.94 : 66,176.54 = 27,810.56 : x
  2. Step 2: Convert to fraction form
    47,954.94/66,176.54 = 27,810.56/x
  3. Step 3: Cross multiply
    47,954.94x = 66,176.54 × 27,810.56
  4. Step 4: Simplify right side
    47,954.94x = 1,840,406,636.26
  5. Step 5: Solve for x
    x = 1,840,406,636.26/47,954.94
  6. Step 6: Final answer
    x = 38,377.83

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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.