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Finding the Fourth Proportional to 30,464.50, 42,045.88 and 17,886.82

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Solution

The fourth proportional to 30,464.50, 42,045.88 and 17,886.82 is: 24,686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,464.50 : 42,045.88 = 17,886.82 : x
  2. Step 2: Convert to fraction form
    30,464.50/42,045.88 = 17,886.82/x
  3. Step 3: Cross multiply
    30,464.50x = 42,045.88 × 17,886.82
  4. Step 4: Simplify right side
    30,464.50x = 752,067,087.30
  5. Step 5: Solve for x
    x = 752,067,087.30/30,464.50
  6. Step 6: Final answer
    x = 24,686.67

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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.