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Finding the Fourth Proportional to 75,840.27, 113,775.04 and 29,089.50

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Solution

The fourth proportional to 75,840.27, 113,775.04 and 29,089.50 is: 43,639.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,840.27 : 113,775.04 = 29,089.50 : x
  2. Step 2: Convert to fraction form
    75,840.27/113,775.04 = 29,089.50/x
  3. Step 3: Cross multiply
    75,840.27x = 113,775.04 × 29,089.50
  4. Step 4: Simplify right side
    75,840.27x = 3,309,658,953.36
  5. Step 5: Solve for x
    x = 3,309,658,953.36/75,840.27
  6. Step 6: Final answer
    x = 43,639.86

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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.