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Finding the Fourth Proportional to 47,261.85, 65,233.93 and 27,897.79

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Solution

The fourth proportional to 47,261.85, 65,233.93 and 27,897.79 is: 38,506.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,261.85 : 65,233.93 = 27,897.79 : x
  2. Step 2: Convert to fraction form
    47,261.85/65,233.93 = 27,897.79/x
  3. Step 3: Cross multiply
    47,261.85x = 65,233.93 × 27,897.79
  4. Step 4: Simplify right side
    47,261.85x = 1,819,882,153.85
  5. Step 5: Solve for x
    x = 1,819,882,153.85/47,261.85
  6. Step 6: Final answer
    x = 38,506.37

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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.