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Finding the Fourth Proportional to 77,150.40, 115,652.70 and 45,584.70

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Solution

The fourth proportional to 77,150.40, 115,652.70 and 45,584.70 is: 68,333.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,150.40 : 115,652.70 = 45,584.70 : x
  2. Step 2: Convert to fraction form
    77,150.40/115,652.70 = 45,584.70/x
  3. Step 3: Cross multiply
    77,150.40x = 115,652.70 × 45,584.70
  4. Step 4: Simplify right side
    77,150.40x = 5,271,993,633.69
  5. Step 5: Solve for x
    x = 5,271,993,633.69/77,150.40
  6. Step 6: Final answer
    x = 68,333.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.