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Finding the Fourth Proportional to 31,085.75, 42,898.34 and 16,938.59

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Solution

The fourth proportional to 31,085.75, 42,898.34 and 16,938.59 is: 23,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,085.75 : 42,898.34 = 16,938.59 : x
  2. Step 2: Convert to fraction form
    31,085.75/42,898.34 = 16,938.59/x
  3. Step 3: Cross multiply
    31,085.75x = 42,898.34 × 16,938.59
  4. Step 4: Simplify right side
    31,085.75x = 726,637,392.94
  5. Step 5: Solve for x
    x = 726,637,392.94/31,085.75
  6. Step 6: Final answer
    x = 23,375.26

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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.