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Finding the Fourth Proportional to 34,568.49, 47,705.42 and 19,461.71

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Solution

The fourth proportional to 34,568.49, 47,705.42 and 19,461.71 is: 26,857.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,568.49 : 47,705.42 = 19,461.71 : x
  2. Step 2: Convert to fraction form
    34,568.49/47,705.42 = 19,461.71/x
  3. Step 3: Cross multiply
    34,568.49x = 47,705.42 × 19,461.71
  4. Step 4: Simplify right side
    34,568.49x = 928,428,713.63
  5. Step 5: Solve for x
    x = 928,428,713.63/34,568.49
  6. Step 6: Final answer
    x = 26,857.66

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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.