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Finding the Fourth Proportional to 30,676.18, 46,014.27 and 10,952.17

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Solution

The fourth proportional to 30,676.18, 46,014.27 and 10,952.17 is: 16,428.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,676.18 : 46,014.27 = 10,952.17 : x
  2. Step 2: Convert to fraction form
    30,676.18/46,014.27 = 10,952.17/x
  3. Step 3: Cross multiply
    30,676.18x = 46,014.27 × 10,952.17
  4. Step 4: Simplify right side
    30,676.18x = 503,956,107.47
  5. Step 5: Solve for x
    x = 503,956,107.47/30,676.18
  6. Step 6: Final answer
    x = 16,428.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.