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Finding the Fourth Proportional to 35,701.84, 49,267.20 and 19,785.88

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Solution

The fourth proportional to 35,701.84, 49,267.20 and 19,785.88 is: 27,303.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,701.84 : 49,267.20 = 19,785.88 : x
  2. Step 2: Convert to fraction form
    35,701.84/49,267.20 = 19,785.88/x
  3. Step 3: Cross multiply
    35,701.84x = 49,267.20 × 19,785.88
  4. Step 4: Simplify right side
    35,701.84x = 974,794,907.14
  5. Step 5: Solve for x
    x = 974,794,907.14/35,701.84
  6. Step 6: Final answer
    x = 27,303.77

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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.