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Finding the Fourth Proportional to 30,892.89, 46,298.33 and 16,097.84

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Solution

The fourth proportional to 30,892.89, 46,298.33 and 16,097.84 is: 24,125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.89 : 46,298.33 = 16,097.84 : x
  2. Step 2: Convert to fraction form
    30,892.89/46,298.33 = 16,097.84/x
  3. Step 3: Cross multiply
    30,892.89x = 46,298.33 × 16,097.84
  4. Step 4: Simplify right side
    30,892.89x = 745,303,121.16
  5. Step 5: Solve for x
    x = 745,303,121.16/30,892.89
  6. Step 6: Final answer
    x = 24,125.39

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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.