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Finding the Fourth Proportional to 49,648.80, 74,408.40 and 22,991.70

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Solution

The fourth proportional to 49,648.80, 74,408.40 and 22,991.70 is: 34,457.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,648.80 : 74,408.40 = 22,991.70 : x
  2. Step 2: Convert to fraction form
    49,648.80/74,408.40 = 22,991.70/x
  3. Step 3: Cross multiply
    49,648.80x = 74,408.40 × 22,991.70
  4. Step 4: Simplify right side
    49,648.80x = 1,710,775,610.28
  5. Step 5: Solve for x
    x = 1,710,775,610.28/49,648.80
  6. Step 6: Final answer
    x = 34,457.54

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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.