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Finding the Fourth Proportional to 34,005.76, 46,914.49 and 19,662.95

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Solution

The fourth proportional to 34,005.76, 46,914.49 and 19,662.95 is: 27,127.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,005.76 : 46,914.49 = 19,662.95 : x
  2. Step 2: Convert to fraction form
    34,005.76/46,914.49 = 19,662.95/x
  3. Step 3: Cross multiply
    34,005.76x = 46,914.49 × 19,662.95
  4. Step 4: Simplify right side
    34,005.76x = 922,477,413.01
  5. Step 5: Solve for x
    x = 922,477,413.01/34,005.76
  6. Step 6: Final answer
    x = 27,127.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.