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Finding the Fourth Proportional to 30,934.98, 46,401.89 and 9,874.86

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Solution

The fourth proportional to 30,934.98, 46,401.89 and 9,874.86 is: 14,812.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,934.98 : 46,401.89 = 9,874.86 : x
  2. Step 2: Convert to fraction form
    30,934.98/46,401.89 = 9,874.86/x
  3. Step 3: Cross multiply
    30,934.98x = 46,401.89 × 9,874.86
  4. Step 4: Simplify right side
    30,934.98x = 458,212,118.11
  5. Step 5: Solve for x
    x = 458,212,118.11/30,934.98
  6. Step 6: Final answer
    x = 14,812.10

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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.