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Finding the Fourth Proportional to 30,930.91, 46,402.17 and 14,065.14

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Solution

The fourth proportional to 30,930.91, 46,402.17 and 14,065.14 is: 21,100.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,930.91 : 46,402.17 = 14,065.14 : x
  2. Step 2: Convert to fraction form
    30,930.91/46,402.17 = 14,065.14/x
  3. Step 3: Cross multiply
    30,930.91x = 46,402.17 × 14,065.14
  4. Step 4: Simplify right side
    30,930.91x = 652,653,138.62
  5. Step 5: Solve for x
    x = 652,653,138.62/30,930.91
  6. Step 6: Final answer
    x = 21,100.35

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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.