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Finding the Fourth Proportional to 30,174.49, 41,639.56 and 16,746.31

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Solution

The fourth proportional to 30,174.49, 41,639.56 and 16,746.31 is: 23,109.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,174.49 : 41,639.56 = 16,746.31 : x
  2. Step 2: Convert to fraction form
    30,174.49/41,639.56 = 16,746.31/x
  3. Step 3: Cross multiply
    30,174.49x = 41,639.56 × 16,746.31
  4. Step 4: Simplify right side
    30,174.49x = 697,308,980.02
  5. Step 5: Solve for x
    x = 697,308,980.02/30,174.49
  6. Step 6: Final answer
    x = 23,109.22

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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.