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Finding the Fourth Proportional to 54,303.64, 74,931.42 and 30,428.44

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Solution

The fourth proportional to 54,303.64, 74,931.42 and 30,428.44 is: 41,986.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,303.64 : 74,931.42 = 30,428.44 : x
  2. Step 2: Convert to fraction form
    54,303.64/74,931.42 = 30,428.44/x
  3. Step 3: Cross multiply
    54,303.64x = 74,931.42 × 30,428.44
  4. Step 4: Simplify right side
    54,303.64x = 2,280,046,217.58
  5. Step 5: Solve for x
    x = 2,280,046,217.58/54,303.64
  6. Step 6: Final answer
    x = 41,986.99

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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.