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Finding the Fourth Proportional to 31,738.66, 43,802.54 and 17,594.23

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Solution

The fourth proportional to 31,738.66, 43,802.54 and 17,594.23 is: 24,281.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,738.66 : 43,802.54 = 17,594.23 : x
  2. Step 2: Convert to fraction form
    31,738.66/43,802.54 = 17,594.23/x
  3. Step 3: Cross multiply
    31,738.66x = 43,802.54 × 17,594.23
  4. Step 4: Simplify right side
    31,738.66x = 770,671,963.34
  5. Step 5: Solve for x
    x = 770,671,963.34/31,738.66
  6. Step 6: Final answer
    x = 24,281.81

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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.