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Finding the Fourth Proportional to 35,705.35, 49,297.44 and 31,916.40

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Solution

The fourth proportional to 35,705.35, 49,297.44 and 31,916.40 is: 44,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,705.35 : 49,297.44 = 31,916.40 : x
  2. Step 2: Convert to fraction form
    35,705.35/49,297.44 = 31,916.40/x
  3. Step 3: Cross multiply
    35,705.35x = 49,297.44 × 31,916.40
  4. Step 4: Simplify right side
    35,705.35x = 1,573,396,814.02
  5. Step 5: Solve for x
    x = 1,573,396,814.02/35,705.35
  6. Step 6: Final answer
    x = 44,066.14

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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.