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Finding the Fourth Proportional to 30,930, 46,419.59 and 11,214.18

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Solution

The fourth proportional to 30,930, 46,419.59 and 11,214.18 is: 16,830.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,930 : 46,419.59 = 11,214.18 : x
  2. Step 2: Convert to fraction form
    30,930/46,419.59 = 11,214.18/x
  3. Step 3: Cross multiply
    30,930x = 46,419.59 × 11,214.18
  4. Step 4: Simplify right side
    30,930x = 520,557,581.72
  5. Step 5: Solve for x
    x = 520,557,581.72/30,930
  6. Step 6: Final answer
    x = 16,830.18

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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.