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Finding the Fourth Proportional to 49,661.51, 74,494.57 and 16,384.49

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Solution

The fourth proportional to 49,661.51, 74,494.57 and 16,384.49 is: 24,577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,661.51 : 74,494.57 = 16,384.49 : x
  2. Step 2: Convert to fraction form
    49,661.51/74,494.57 = 16,384.49/x
  3. Step 3: Cross multiply
    49,661.51x = 74,494.57 × 16,384.49
  4. Step 4: Simplify right side
    49,661.51x = 1,220,555,123.79
  5. Step 5: Solve for x
    x = 1,220,555,123.79/49,661.51
  6. Step 6: Final answer
    x = 24,577.49

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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.