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Finding the Fourth Proportional to 40,477.84, 55,874.79 and 30,435.44

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Solution

The fourth proportional to 40,477.84, 55,874.79 and 30,435.44 is: 42,012.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,477.84 : 55,874.79 = 30,435.44 : x
  2. Step 2: Convert to fraction form
    40,477.84/55,874.79 = 30,435.44/x
  3. Step 3: Cross multiply
    40,477.84x = 55,874.79 × 30,435.44
  4. Step 4: Simplify right side
    40,477.84x = 1,700,573,539.18
  5. Step 5: Solve for x
    x = 1,700,573,539.18/40,477.84
  6. Step 6: Final answer
    x = 42,012.46

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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.