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Finding the Fourth Proportional to 31,653.76, 43,681.92 and 19,076.16

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Solution

The fourth proportional to 31,653.76, 43,681.92 and 19,076.16 is: 26,324.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,653.76 : 43,681.92 = 19,076.16 : x
  2. Step 2: Convert to fraction form
    31,653.76/43,681.92 = 19,076.16/x
  3. Step 3: Cross multiply
    31,653.76x = 43,681.92 × 19,076.16
  4. Step 4: Simplify right side
    31,653.76x = 833,283,295.03
  5. Step 5: Solve for x
    x = 833,283,295.03/31,653.76
  6. Step 6: Final answer
    x = 26,324.94

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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.