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Finding the Fourth Proportional to 31,214.38, 46,822.94 and 9,030

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Solution

The fourth proportional to 31,214.38, 46,822.94 and 9,030 is: 13,545.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,214.38 : 46,822.94 = 9,030 : x
  2. Step 2: Convert to fraction form
    31,214.38/46,822.94 = 9,030/x
  3. Step 3: Cross multiply
    31,214.38x = 46,822.94 × 9,030
  4. Step 4: Simplify right side
    31,214.38x = 422,811,148.20
  5. Step 5: Solve for x
    x = 422,811,148.20/31,214.38
  6. Step 6: Final answer
    x = 13,545.40

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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.