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Finding the Fourth Proportional to 31,162.90, 46,744.43 and 12,444.46

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Solution

The fourth proportional to 31,162.90, 46,744.43 and 12,444.46 is: 18,666.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,162.90 : 46,744.43 = 12,444.46 : x
  2. Step 2: Convert to fraction form
    31,162.90/46,744.43 = 12,444.46/x
  3. Step 3: Cross multiply
    31,162.90x = 46,744.43 × 12,444.46
  4. Step 4: Simplify right side
    31,162.90x = 581,709,189.36
  5. Step 5: Solve for x
    x = 581,709,189.36/31,162.90
  6. Step 6: Final answer
    x = 18,666.72

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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.