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Finding the Fourth Proportional to 30,964.96, 42,815.52 and 30,464.64

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Solution

The fourth proportional to 30,964.96, 42,815.52 and 30,464.64 is: 42,123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,964.96 : 42,815.52 = 30,464.64 : x
  2. Step 2: Convert to fraction form
    30,964.96/42,815.52 = 30,464.64/x
  3. Step 3: Cross multiply
    30,964.96x = 42,815.52 × 30,464.64
  4. Step 4: Simplify right side
    30,964.96x = 1,304,359,403.21
  5. Step 5: Solve for x
    x = 1,304,359,403.21/30,964.96
  6. Step 6: Final answer
    x = 42,123.72

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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.