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Finding the Fourth Proportional to 54,331.32, 74,972.70 and 30,457.20

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Solution

The fourth proportional to 54,331.32, 74,972.70 and 30,457.20 is: 42,028.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,331.32 : 74,972.70 = 30,457.20 : x
  2. Step 2: Convert to fraction form
    54,331.32/74,972.70 = 30,457.20/x
  3. Step 3: Cross multiply
    54,331.32x = 74,972.70 × 30,457.20
  4. Step 4: Simplify right side
    54,331.32x = 2,283,458,518.44
  5. Step 5: Solve for x
    x = 2,283,458,518.44/54,331.32
  6. Step 6: Final answer
    x = 42,028.40

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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.