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Finding the Fourth Proportional to 34,762.32, 47,970.09 and 19,654.11

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Solution

The fourth proportional to 34,762.32, 47,970.09 and 19,654.11 is: 27,121.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,762.32 : 47,970.09 = 19,654.11 : x
  2. Step 2: Convert to fraction form
    34,762.32/47,970.09 = 19,654.11/x
  3. Step 3: Cross multiply
    34,762.32x = 47,970.09 × 19,654.11
  4. Step 4: Simplify right side
    34,762.32x = 942,809,425.57
  5. Step 5: Solve for x
    x = 942,809,425.57/34,762.32
  6. Step 6: Final answer
    x = 27,121.59

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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.