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Finding the Fourth Proportional to 31,624.88, 43,642.32 and 17,477.60

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Solution

The fourth proportional to 31,624.88, 43,642.32 and 17,477.60 is: 24,119.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,624.88 : 43,642.32 = 17,477.60 : x
  2. Step 2: Convert to fraction form
    31,624.88/43,642.32 = 17,477.60/x
  3. Step 3: Cross multiply
    31,624.88x = 43,642.32 × 17,477.60
  4. Step 4: Simplify right side
    31,624.88x = 762,763,012.03
  5. Step 5: Solve for x
    x = 762,763,012.03/31,624.88
  6. Step 6: Final answer
    x = 24,119.08

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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.