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Finding the Fourth Proportional to 51,603, 77,405.46 and 14,667.96

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Solution

The fourth proportional to 51,603, 77,405.46 and 14,667.96 is: 22,002.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,603 : 77,405.46 = 14,667.96 : x
  2. Step 2: Convert to fraction form
    51,603/77,405.46 = 14,667.96/x
  3. Step 3: Cross multiply
    51,603x = 77,405.46 × 14,667.96
  4. Step 4: Simplify right side
    51,603x = 1,135,380,191.06
  5. Step 5: Solve for x
    x = 1,135,380,191.06/51,603
  6. Step 6: Final answer
    x = 22,002.21

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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.