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Finding the Fourth Proportional to 76,089.60, 114,072.50 and 31,749.38

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Solution

The fourth proportional to 76,089.60, 114,072.50 and 31,749.38 is: 47,598.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,089.60 : 114,072.50 = 31,749.38 : x
  2. Step 2: Convert to fraction form
    76,089.60/114,072.50 = 31,749.38/x
  3. Step 3: Cross multiply
    76,089.60x = 114,072.50 × 31,749.38
  4. Step 4: Simplify right side
    76,089.60x = 3,621,731,150.05
  5. Step 5: Solve for x
    x = 3,621,731,150.05/76,089.60
  6. Step 6: Final answer
    x = 47,598.24

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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.