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Finding the Fourth Proportional to 31,070.44, 46,605.66 and 8,883.64

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Solution

The fourth proportional to 31,070.44, 46,605.66 and 8,883.64 is: 13,325.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,070.44 : 46,605.66 = 8,883.64 : x
  2. Step 2: Convert to fraction form
    31,070.44/46,605.66 = 8,883.64/x
  3. Step 3: Cross multiply
    31,070.44x = 46,605.66 × 8,883.64
  4. Step 4: Simplify right side
    31,070.44x = 414,027,905.40
  5. Step 5: Solve for x
    x = 414,027,905.40/31,070.44
  6. Step 6: Final answer
    x = 13,325.46

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