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Finding the Fourth Proportional to 30,196.76, 45,298.24 and 8,010.16

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Solution

The fourth proportional to 30,196.76, 45,298.24 and 8,010.16 is: 12,016.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,196.76 : 45,298.24 = 8,010.16 : x
  2. Step 2: Convert to fraction form
    30,196.76/45,298.24 = 8,010.16/x
  3. Step 3: Cross multiply
    30,196.76x = 45,298.24 × 8,010.16
  4. Step 4: Simplify right side
    30,196.76x = 362,846,016.85
  5. Step 5: Solve for x
    x = 362,846,016.85/30,196.76
  6. Step 6: Final answer
    x = 12,016.06

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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.