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Finding the Fourth Proportional to 33,051.48, 49,563.62 and 16,405.40

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Solution

The fourth proportional to 33,051.48, 49,563.62 and 16,405.40 is: 24,601.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,051.48 : 49,563.62 = 16,405.40 : x
  2. Step 2: Convert to fraction form
    33,051.48/49,563.62 = 16,405.40/x
  3. Step 3: Cross multiply
    33,051.48x = 49,563.62 × 16,405.40
  4. Step 4: Simplify right side
    33,051.48x = 813,111,011.55
  5. Step 5: Solve for x
    x = 813,111,011.55/33,051.48
  6. Step 6: Final answer
    x = 24,601.35

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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.