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Finding the Fourth Proportional to 33,154.47, 49,709.84 and 13,409.91

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Solution

The fourth proportional to 33,154.47, 49,709.84 and 13,409.91 is: 20,106.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,154.47 : 49,709.84 = 13,409.91 : x
  2. Step 2: Convert to fraction form
    33,154.47/49,709.84 = 13,409.91/x
  3. Step 3: Cross multiply
    33,154.47x = 49,709.84 × 13,409.91
  4. Step 4: Simplify right side
    33,154.47x = 666,604,413.46
  5. Step 5: Solve for x
    x = 666,604,413.46/33,154.47
  6. Step 6: Final answer
    x = 20,106.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.