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Finding the Fourth Proportional to 34,334.01, 47,408.49 and 27,598.05

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Solution

The fourth proportional to 34,334.01, 47,408.49 and 27,598.05 is: 38,107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,334.01 : 47,408.49 = 27,598.05 : x
  2. Step 2: Convert to fraction form
    34,334.01/47,408.49 = 27,598.05/x
  3. Step 3: Cross multiply
    34,334.01x = 47,408.49 × 27,598.05
  4. Step 4: Simplify right side
    34,334.01x = 1,308,381,877.44
  5. Step 5: Solve for x
    x = 1,308,381,877.44/34,334.01
  6. Step 6: Final answer
    x = 38,107.46

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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.