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Finding the Fourth Proportional to 114,465.56, 171,722.90 and 38,571.59

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Solution

The fourth proportional to 114,465.56, 171,722.90 and 38,571.59 is: 57,865.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,465.56 : 171,722.90 = 38,571.59 : x
  2. Step 2: Convert to fraction form
    114,465.56/171,722.90 = 38,571.59/x
  3. Step 3: Cross multiply
    114,465.56x = 171,722.90 × 38,571.59
  4. Step 4: Simplify right side
    114,465.56x = 6,623,625,818.15
  5. Step 5: Solve for x
    x = 6,623,625,818.15/114,465.56
  6. Step 6: Final answer
    x = 57,865.67

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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.