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Finding the Fourth Proportional to 35,701.76, 49,267.67 and 19,786.07

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Solution

The fourth proportional to 35,701.76, 49,267.67 and 19,786.07 is: 27,304.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,701.76 : 49,267.67 = 19,786.07 : x
  2. Step 2: Convert to fraction form
    35,701.76/49,267.67 = 19,786.07/x
  3. Step 3: Cross multiply
    35,701.76x = 49,267.67 × 19,786.07
  4. Step 4: Simplify right side
    35,701.76x = 974,813,222.09
  5. Step 5: Solve for x
    x = 974,813,222.09/35,701.76
  6. Step 6: Final answer
    x = 27,304.35

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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.