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Finding the Fourth Proportional to 31,365.48, 47,004 and 17,331.84

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Solution

The fourth proportional to 31,365.48, 47,004 and 17,331.84 is: 25,973.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,365.48 : 47,004 = 17,331.84 : x
  2. Step 2: Convert to fraction form
    31,365.48/47,004 = 17,331.84/x
  3. Step 3: Cross multiply
    31,365.48x = 47,004 × 17,331.84
  4. Step 4: Simplify right side
    31,365.48x = 814,665,807.36
  5. Step 5: Solve for x
    x = 814,665,807.36/31,365.48
  6. Step 6: Final answer
    x = 25,973.33

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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.