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Finding the Fourth Proportional to 35,841.30, 49,461.61 and 19,709.30

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Solution

The fourth proportional to 35,841.30, 49,461.61 and 19,709.30 is: 27,199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,841.30 : 49,461.61 = 19,709.30 : x
  2. Step 2: Convert to fraction form
    35,841.30/49,461.61 = 19,709.30/x
  3. Step 3: Cross multiply
    35,841.30x = 49,461.61 × 19,709.30
  4. Step 4: Simplify right side
    35,841.30x = 974,853,709.97
  5. Step 5: Solve for x
    x = 974,853,709.97/35,841.30
  6. Step 6: Final answer
    x = 27,199.17

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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.