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Finding the Fourth Proportional to 45,598.91, 68,408.89 and 14,434.16

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Solution

The fourth proportional to 45,598.91, 68,408.89 and 14,434.16 is: 21,654.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,598.91 : 68,408.89 = 14,434.16 : x
  2. Step 2: Convert to fraction form
    45,598.91/68,408.89 = 14,434.16/x
  3. Step 3: Cross multiply
    45,598.91x = 68,408.89 × 14,434.16
  4. Step 4: Simplify right side
    45,598.91x = 987,424,485.55
  5. Step 5: Solve for x
    x = 987,424,485.55/45,598.91
  6. Step 6: Final answer
    x = 21,654.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.