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Finding the Fourth Proportional to 49,409.80, 74,024.48 and 30,652.63

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Solution

The fourth proportional to 49,409.80, 74,024.48 and 30,652.63 is: 45,922.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,409.80 : 74,024.48 = 30,652.63 : x
  2. Step 2: Convert to fraction form
    49,409.80/74,024.48 = 30,652.63/x
  3. Step 3: Cross multiply
    49,409.80x = 74,024.48 × 30,652.63
  4. Step 4: Simplify right side
    49,409.80x = 2,269,044,887.95
  5. Step 5: Solve for x
    x = 2,269,044,887.95/49,409.80
  6. Step 6: Final answer
    x = 45,922.97

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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.