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Finding the Fourth Proportional to 49,873.14, 74,809.32 and 12,432.96

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Solution

The fourth proportional to 49,873.14, 74,809.32 and 12,432.96 is: 18,649.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,873.14 : 74,809.32 = 12,432.96 : x
  2. Step 2: Convert to fraction form
    49,873.14/74,809.32 = 12,432.96/x
  3. Step 3: Cross multiply
    49,873.14x = 74,809.32 × 12,432.96
  4. Step 4: Simplify right side
    49,873.14x = 930,101,283.19
  5. Step 5: Solve for x
    x = 930,101,283.19/49,873.14
  6. Step 6: Final answer
    x = 18,649.34

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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.