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Finding the Fourth Proportional to 49,661.80, 74,501.89 and 16,384.16

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Solution

The fourth proportional to 49,661.80, 74,501.89 and 16,384.16 is: 24,579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,661.80 : 74,501.89 = 16,384.16 : x
  2. Step 2: Convert to fraction form
    49,661.80/74,501.89 = 16,384.16/x
  3. Step 3: Cross multiply
    49,661.80x = 74,501.89 × 16,384.16
  4. Step 4: Simplify right side
    49,661.80x = 1,220,651,031.36
  5. Step 5: Solve for x
    x = 1,220,651,031.36/49,661.80
  6. Step 6: Final answer
    x = 24,579.28

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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.