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Finding the Fourth Proportional to 34,077.68, 47,045.64 and 23,899.96

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Solution

The fourth proportional to 34,077.68, 47,045.64 and 23,899.96 is: 32,994.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,077.68 : 47,045.64 = 23,899.96 : x
  2. Step 2: Convert to fraction form
    34,077.68/47,045.64 = 23,899.96/x
  3. Step 3: Cross multiply
    34,077.68x = 47,045.64 × 23,899.96
  4. Step 4: Simplify right side
    34,077.68x = 1,124,388,559.45
  5. Step 5: Solve for x
    x = 1,124,388,559.45/34,077.68
  6. Step 6: Final answer
    x = 32,994.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.