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Finding the Fourth Proportional to 35,645.48, 49,185.26 and 20,535.19

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Solution

The fourth proportional to 35,645.48, 49,185.26 and 20,535.19 is: 28,335.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,645.48 : 49,185.26 = 20,535.19 : x
  2. Step 2: Convert to fraction form
    35,645.48/49,185.26 = 20,535.19/x
  3. Step 3: Cross multiply
    35,645.48x = 49,185.26 × 20,535.19
  4. Step 4: Simplify right side
    35,645.48x = 1,010,028,510.67
  5. Step 5: Solve for x
    x = 1,010,028,510.67/35,645.48
  6. Step 6: Final answer
    x = 28,335.39

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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.