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Finding the Fourth Proportional to 51,705.39, 71,348.40 and 29,039.25

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Solution

The fourth proportional to 51,705.39, 71,348.40 and 29,039.25 is: 40,071.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,705.39 : 71,348.40 = 29,039.25 : x
  2. Step 2: Convert to fraction form
    51,705.39/71,348.40 = 29,039.25/x
  3. Step 3: Cross multiply
    51,705.39x = 71,348.40 × 29,039.25
  4. Step 4: Simplify right side
    51,705.39x = 2,071,904,024.70
  5. Step 5: Solve for x
    x = 2,071,904,024.70/51,705.39
  6. Step 6: Final answer
    x = 40,071.34

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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.