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Finding the Fourth Proportional to 30,642.88, 45,968.64 and 10,917.22

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Solution

The fourth proportional to 30,642.88, 45,968.64 and 10,917.22 is: 16,377.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642.88 : 45,968.64 = 10,917.22 : x
  2. Step 2: Convert to fraction form
    30,642.88/45,968.64 = 10,917.22/x
  3. Step 3: Cross multiply
    30,642.88x = 45,968.64 × 10,917.22
  4. Step 4: Simplify right side
    30,642.88x = 501,849,755.98
  5. Step 5: Solve for x
    x = 501,849,755.98/30,642.88
  6. Step 6: Final answer
    x = 16,377.37

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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.