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Finding the Fourth Proportional to 31,588.50, 43,592.22 and 17,441.22

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Solution

The fourth proportional to 31,588.50, 43,592.22 and 17,441.22 is: 24,068.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,588.50 : 43,592.22 = 17,441.22 : x
  2. Step 2: Convert to fraction form
    31,588.50/43,592.22 = 17,441.22/x
  3. Step 3: Cross multiply
    31,588.50x = 43,592.22 × 17,441.22
  4. Step 4: Simplify right side
    31,588.50x = 760,301,499.31
  5. Step 5: Solve for x
    x = 760,301,499.31/31,588.50
  6. Step 6: Final answer
    x = 24,068.93

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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.