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Finding the Fourth Proportional to 47,241.84, 65,189.04 and 27,094.16

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Solution

The fourth proportional to 47,241.84, 65,189.04 and 27,094.16 is: 37,387.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,241.84 : 65,189.04 = 27,094.16 : x
  2. Step 2: Convert to fraction form
    47,241.84/65,189.04 = 27,094.16/x
  3. Step 3: Cross multiply
    47,241.84x = 65,189.04 × 27,094.16
  4. Step 4: Simplify right side
    47,241.84x = 1,766,242,280.01
  5. Step 5: Solve for x
    x = 1,766,242,280.01/47,241.84
  6. Step 6: Final answer
    x = 37,387.25

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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.