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Finding the Fourth Proportional to 106,224.49, 159,341.12 and 31,344.63

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Solution

The fourth proportional to 106,224.49, 159,341.12 and 31,344.63 is: 47,018.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,224.49 : 159,341.12 = 31,344.63 : x
  2. Step 2: Convert to fraction form
    106,224.49/159,341.12 = 31,344.63/x
  3. Step 3: Cross multiply
    106,224.49x = 159,341.12 × 31,344.63
  4. Step 4: Simplify right side
    106,224.49x = 4,994,488,528.55
  5. Step 5: Solve for x
    x = 4,994,488,528.55/106,224.49
  6. Step 6: Final answer
    x = 47,018.24

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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.