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Finding the Fourth Proportional to 47,757.93, 65,902.08 and 27,616.11

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Solution

The fourth proportional to 47,757.93, 65,902.08 and 27,616.11 is: 38,108.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,757.93 : 65,902.08 = 27,616.11 : x
  2. Step 2: Convert to fraction form
    47,757.93/65,902.08 = 27,616.11/x
  3. Step 3: Cross multiply
    47,757.93x = 65,902.08 × 27,616.11
  4. Step 4: Simplify right side
    47,757.93x = 1,819,959,090.51
  5. Step 5: Solve for x
    x = 1,819,959,090.51/47,757.93
  6. Step 6: Final answer
    x = 38,108.00

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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.