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Finding the Fourth Proportional to 49,509.28, 74,267.16 and 14,446

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Solution

The fourth proportional to 49,509.28, 74,267.16 and 14,446 is: 21,669.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,509.28 : 74,267.16 = 14,446 : x
  2. Step 2: Convert to fraction form
    49,509.28/74,267.16 = 14,446/x
  3. Step 3: Cross multiply
    49,509.28x = 74,267.16 × 14,446
  4. Step 4: Simplify right side
    49,509.28x = 1,072,863,393.36
  5. Step 5: Solve for x
    x = 1,072,863,393.36/49,509.28
  6. Step 6: Final answer
    x = 21,669.95

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Why These Related Problems?

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