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Finding the Fourth Proportional to 76,420.32, 114,633.24 and 23,833.92

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Solution

The fourth proportional to 76,420.32, 114,633.24 and 23,833.92 is: 35,751.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,420.32 : 114,633.24 = 23,833.92 : x
  2. Step 2: Convert to fraction form
    76,420.32/114,633.24 = 23,833.92/x
  3. Step 3: Cross multiply
    76,420.32x = 114,633.24 × 23,833.92
  4. Step 4: Simplify right side
    76,420.32x = 2,732,159,471.50
  5. Step 5: Solve for x
    x = 2,732,159,471.50/76,420.32
  6. Step 6: Final answer
    x = 35,751.74

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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.