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Finding the Fourth Proportional to 35,642.77, 49,136.32 and 24,297.71

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Solution

The fourth proportional to 35,642.77, 49,136.32 and 24,297.71 is: 33,496.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,642.77 : 49,136.32 = 24,297.71 : x
  2. Step 2: Convert to fraction form
    35,642.77/49,136.32 = 24,297.71/x
  3. Step 3: Cross multiply
    35,642.77x = 49,136.32 × 24,297.71
  4. Step 4: Simplify right side
    35,642.77x = 1,193,900,045.81
  5. Step 5: Solve for x
    x = 1,193,900,045.81/35,642.77
  6. Step 6: Final answer
    x = 33,496.27

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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.