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Finding the Fourth Proportional to 35,940.48, 49,595.82 and 20,024.40

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Solution

The fourth proportional to 35,940.48, 49,595.82 and 20,024.40 is: 27,632.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,940.48 : 49,595.82 = 20,024.40 : x
  2. Step 2: Convert to fraction form
    35,940.48/49,595.82 = 20,024.40/x
  3. Step 3: Cross multiply
    35,940.48x = 49,595.82 × 20,024.40
  4. Step 4: Simplify right side
    35,940.48x = 993,126,538.01
  5. Step 5: Solve for x
    x = 993,126,538.01/35,940.48
  6. Step 6: Final answer
    x = 27,632.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.