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Finding the Fourth Proportional to 31,852.49, 47,828.07 and 17,090.24

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Solution

The fourth proportional to 31,852.49, 47,828.07 and 17,090.24 is: 25,661.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,852.49 : 47,828.07 = 17,090.24 : x
  2. Step 2: Convert to fraction form
    31,852.49/47,828.07 = 17,090.24/x
  3. Step 3: Cross multiply
    31,852.49x = 47,828.07 × 17,090.24
  4. Step 4: Simplify right side
    31,852.49x = 817,392,955.90
  5. Step 5: Solve for x
    x = 817,392,955.90/31,852.49
  6. Step 6: Final answer
    x = 25,661.83

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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.