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Finding the Fourth Proportional to 34,615.37, 47,770.16 and 21,186.38

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Solution

The fourth proportional to 34,615.37, 47,770.16 and 21,186.38 is: 29,237.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,615.37 : 47,770.16 = 21,186.38 : x
  2. Step 2: Convert to fraction form
    34,615.37/47,770.16 = 21,186.38/x
  3. Step 3: Cross multiply
    34,615.37x = 47,770.16 × 21,186.38
  4. Step 4: Simplify right side
    34,615.37x = 1,012,076,417.64
  5. Step 5: Solve for x
    x = 1,012,076,417.64/34,615.37
  6. Step 6: Final answer
    x = 29,237.78

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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.