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Finding the Fourth Proportional to 51,875.49, 71,584.92 and 29,213.17

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Solution

The fourth proportional to 51,875.49, 71,584.92 and 29,213.17 is: 40,312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,875.49 : 71,584.92 = 29,213.17 : x
  2. Step 2: Convert to fraction form
    51,875.49/71,584.92 = 29,213.17/x
  3. Step 3: Cross multiply
    51,875.49x = 71,584.92 × 29,213.17
  4. Step 4: Simplify right side
    51,875.49x = 2,091,222,258.43
  5. Step 5: Solve for x
    x = 2,091,222,258.43/51,875.49
  6. Step 6: Final answer
    x = 40,312.33

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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.