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Finding the Fourth Proportional to 35,849.12, 49,472.16 and 19,934.24

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Solution

The fourth proportional to 35,849.12, 49,472.16 and 19,934.24 is: 27,509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,849.12 : 49,472.16 = 19,934.24 : x
  2. Step 2: Convert to fraction form
    35,849.12/49,472.16 = 19,934.24/x
  3. Step 3: Cross multiply
    35,849.12x = 49,472.16 × 19,934.24
  4. Step 4: Simplify right side
    35,849.12x = 986,189,910.76
  5. Step 5: Solve for x
    x = 986,189,910.76/35,849.12
  6. Step 6: Final answer
    x = 27,509.46

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