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Finding the Fourth Proportional to 49,348.88, 74,020.44 and 12,410

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Solution

The fourth proportional to 49,348.88, 74,020.44 and 12,410 is: 18,614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,348.88 : 74,020.44 = 12,410 : x
  2. Step 2: Convert to fraction form
    49,348.88/74,020.44 = 12,410/x
  3. Step 3: Cross multiply
    49,348.88x = 74,020.44 × 12,410
  4. Step 4: Simplify right side
    49,348.88x = 918,593,660.40
  5. Step 5: Solve for x
    x = 918,593,660.40/49,348.88
  6. Step 6: Final answer
    x = 18,614.28

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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.