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Finding the Fourth Proportional to 77,135.10, 115,652.70 and 32,749.80

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Solution

The fourth proportional to 77,135.10, 115,652.70 and 32,749.80 is: 49,103.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,135.10 : 115,652.70 = 32,749.80 : x
  2. Step 2: Convert to fraction form
    77,135.10/115,652.70 = 32,749.80/x
  3. Step 3: Cross multiply
    77,135.10x = 115,652.70 × 32,749.80
  4. Step 4: Simplify right side
    77,135.10x = 3,787,602,794.46
  5. Step 5: Solve for x
    x = 3,787,602,794.46/77,135.10
  6. Step 6: Final answer
    x = 49,103.49

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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.