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Finding the Fourth Proportional to 35,852.55, 49,477.41 and 19,938

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Solution

The fourth proportional to 35,852.55, 49,477.41 and 19,938 is: 27,514.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,852.55 : 49,477.41 = 19,938 : x
  2. Step 2: Convert to fraction form
    35,852.55/49,477.41 = 19,938/x
  3. Step 3: Cross multiply
    35,852.55x = 49,477.41 × 19,938
  4. Step 4: Simplify right side
    35,852.55x = 986,480,600.58
  5. Step 5: Solve for x
    x = 986,480,600.58/35,852.55
  6. Step 6: Final answer
    x = 27,514.94

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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.