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Finding the Fourth Proportional to 31,071.52, 42,880.22 and 17,642.53

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Solution

The fourth proportional to 31,071.52, 42,880.22 and 17,642.53 is: 24,347.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,071.52 : 42,880.22 = 17,642.53 : x
  2. Step 2: Convert to fraction form
    31,071.52/42,880.22 = 17,642.53/x
  3. Step 3: Cross multiply
    31,071.52x = 42,880.22 × 17,642.53
  4. Step 4: Simplify right side
    31,071.52x = 756,515,567.76
  5. Step 5: Solve for x
    x = 756,515,567.76/31,071.52
  6. Step 6: Final answer
    x = 24,347.56

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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.