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Finding the Fourth Proportional to 47,812.98, 65,984.04 and 27,670.80

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Solution

The fourth proportional to 47,812.98, 65,984.04 and 27,670.80 is: 38,186.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,812.98 : 65,984.04 = 27,670.80 : x
  2. Step 2: Convert to fraction form
    47,812.98/65,984.04 = 27,670.80/x
  3. Step 3: Cross multiply
    47,812.98x = 65,984.04 × 27,670.80
  4. Step 4: Simplify right side
    47,812.98x = 1,825,831,174.03
  5. Step 5: Solve for x
    x = 1,825,831,174.03/47,812.98
  6. Step 6: Final answer
    x = 38,186.94

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