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Finding the Fourth Proportional to 34,791.60, 52,184.61 and 9,830.64

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Solution

The fourth proportional to 34,791.60, 52,184.61 and 9,830.64 is: 14,745.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,791.60 : 52,184.61 = 9,830.64 : x
  2. Step 2: Convert to fraction form
    34,791.60/52,184.61 = 9,830.64/x
  3. Step 3: Cross multiply
    34,791.60x = 52,184.61 × 9,830.64
  4. Step 4: Simplify right side
    34,791.60x = 513,008,114.45
  5. Step 5: Solve for x
    x = 513,008,114.45/34,791.60
  6. Step 6: Final answer
    x = 14,745.17

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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.