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Finding the Fourth Proportional to 30,948.72, 46,394.41 and 11,221.98

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Solution

The fourth proportional to 30,948.72, 46,394.41 and 11,221.98 is: 16,822.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,948.72 : 46,394.41 = 11,221.98 : x
  2. Step 2: Convert to fraction form
    30,948.72/46,394.41 = 11,221.98/x
  3. Step 3: Cross multiply
    30,948.72x = 46,394.41 × 11,221.98
  4. Step 4: Simplify right side
    30,948.72x = 520,637,141.13
  5. Step 5: Solve for x
    x = 520,637,141.13/30,948.72
  6. Step 6: Final answer
    x = 16,822.57

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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.