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Finding the Fourth Proportional to 34,538.74, 47,663.01 and 19,431.51

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Solution

The fourth proportional to 34,538.74, 47,663.01 and 19,431.51 is: 26,815.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,538.74 : 47,663.01 = 19,431.51 : x
  2. Step 2: Convert to fraction form
    34,538.74/47,663.01 = 19,431.51/x
  3. Step 3: Cross multiply
    34,538.74x = 47,663.01 × 19,431.51
  4. Step 4: Simplify right side
    34,538.74x = 926,164,076.71
  5. Step 5: Solve for x
    x = 926,164,076.71/34,538.74
  6. Step 6: Final answer
    x = 26,815.23

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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.