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Finding the Fourth Proportional to 31,270.90, 46,903.07 and 16,473.86

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Solution

The fourth proportional to 31,270.90, 46,903.07 and 16,473.86 is: 24,709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,270.90 : 46,903.07 = 16,473.86 : x
  2. Step 2: Convert to fraction form
    31,270.90/46,903.07 = 16,473.86/x
  3. Step 3: Cross multiply
    31,270.90x = 46,903.07 × 16,473.86
  4. Step 4: Simplify right side
    31,270.90x = 772,674,608.75
  5. Step 5: Solve for x
    x = 772,674,608.75/31,270.90
  6. Step 6: Final answer
    x = 24,709.06

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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.