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Finding the Fourth Proportional to 31,257.69, 43,135.65 and 17,828.59

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Solution

The fourth proportional to 31,257.69, 43,135.65 and 17,828.59 is: 24,603.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,257.69 : 43,135.65 = 17,828.59 : x
  2. Step 2: Convert to fraction form
    31,257.69/43,135.65 = 17,828.59/x
  3. Step 3: Cross multiply
    31,257.69x = 43,135.65 × 17,828.59
  4. Step 4: Simplify right side
    31,257.69x = 769,047,818.23
  5. Step 5: Solve for x
    x = 769,047,818.23/31,257.69
  6. Step 6: Final answer
    x = 24,603.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.