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Finding the Fourth Proportional to 49,862.70, 74,768.40 and 14,797.80

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Solution

The fourth proportional to 49,862.70, 74,768.40 and 14,797.80 is: 22,189.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,862.70 : 74,768.40 = 14,797.80 : x
  2. Step 2: Convert to fraction form
    49,862.70/74,768.40 = 14,797.80/x
  3. Step 3: Cross multiply
    49,862.70x = 74,768.40 × 14,797.80
  4. Step 4: Simplify right side
    49,862.70x = 1,106,407,829.52
  5. Step 5: Solve for x
    x = 1,106,407,829.52/49,862.70
  6. Step 6: Final answer
    x = 22,189.09

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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.