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Finding the Fourth Proportional to 34,246.40, 47,256.82 and 20,096.51

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Solution

The fourth proportional to 34,246.40, 47,256.82 and 20,096.51 is: 27,731.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,246.40 : 47,256.82 = 20,096.51 : x
  2. Step 2: Convert to fraction form
    34,246.40/47,256.82 = 20,096.51/x
  3. Step 3: Cross multiply
    34,246.40x = 47,256.82 × 20,096.51
  4. Step 4: Simplify right side
    34,246.40x = 949,696,869.17
  5. Step 5: Solve for x
    x = 949,696,869.17/34,246.40
  6. Step 6: Final answer
    x = 27,731.29

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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.