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Finding the Fourth Proportional to 31,154.96, 46,703.64 and 12,430.44

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Solution

The fourth proportional to 31,154.96, 46,703.64 and 12,430.44 is: 18,634.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,154.96 : 46,703.64 = 12,430.44 : x
  2. Step 2: Convert to fraction form
    31,154.96/46,703.64 = 12,430.44/x
  3. Step 3: Cross multiply
    31,154.96x = 46,703.64 × 12,430.44
  4. Step 4: Simplify right side
    31,154.96x = 580,546,794.80
  5. Step 5: Solve for x
    x = 580,546,794.80/31,154.96
  6. Step 6: Final answer
    x = 18,634.17

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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.