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Finding the Fourth Proportional to 76,008.32, 114,016.32 and 23,453.76

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Solution

The fourth proportional to 76,008.32, 114,016.32 and 23,453.76 is: 35,181.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,008.32 : 114,016.32 = 23,453.76 : x
  2. Step 2: Convert to fraction form
    76,008.32/114,016.32 = 23,453.76/x
  3. Step 3: Cross multiply
    76,008.32x = 114,016.32 × 23,453.76
  4. Step 4: Simplify right side
    76,008.32x = 2,674,111,405.36
  5. Step 5: Solve for x
    x = 2,674,111,405.36/76,008.32
  6. Step 6: Final answer
    x = 35,181.82

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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.