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Finding the Fourth Proportional to 31,653.17, 43,641.83 and 23,148.47

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Solution

The fourth proportional to 31,653.17, 43,641.83 and 23,148.47 is: 31,915.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,653.17 : 43,641.83 = 23,148.47 : x
  2. Step 2: Convert to fraction form
    31,653.17/43,641.83 = 23,148.47/x
  3. Step 3: Cross multiply
    31,653.17x = 43,641.83 × 23,148.47
  4. Step 4: Simplify right side
    31,653.17x = 1,010,241,258.55
  5. Step 5: Solve for x
    x = 1,010,241,258.55/31,653.17
  6. Step 6: Final answer
    x = 31,915.96

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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.