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Finding the Fourth Proportional to 35,772.96, 49,366.66 and 19,857.38

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Solution

The fourth proportional to 35,772.96, 49,366.66 and 19,857.38 is: 27,403.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,772.96 : 49,366.66 = 19,857.38 : x
  2. Step 2: Convert to fraction form
    35,772.96/49,366.66 = 19,857.38/x
  3. Step 3: Cross multiply
    35,772.96x = 49,366.66 × 19,857.38
  4. Step 4: Simplify right side
    35,772.96x = 980,292,526.95
  5. Step 5: Solve for x
    x = 980,292,526.95/35,772.96
  6. Step 6: Final answer
    x = 27,403.17

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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.