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Finding the Fourth Proportional to 31,141.44, 46,729.44 and 12,672

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Solution

The fourth proportional to 31,141.44, 46,729.44 and 12,672 is: 19,015.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,141.44 : 46,729.44 = 12,672 : x
  2. Step 2: Convert to fraction form
    31,141.44/46,729.44 = 12,672/x
  3. Step 3: Cross multiply
    31,141.44x = 46,729.44 × 12,672
  4. Step 4: Simplify right side
    31,141.44x = 592,155,463.68
  5. Step 5: Solve for x
    x = 592,155,463.68/31,141.44
  6. Step 6: Final answer
    x = 19,015.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.