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Finding the Fourth Proportional to 52,222.56, 78,346.56 and 16,683.84

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Solution

The fourth proportional to 52,222.56, 78,346.56 and 16,683.84 is: 25,029.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,222.56 : 78,346.56 = 16,683.84 : x
  2. Step 2: Convert to fraction form
    52,222.56/78,346.56 = 16,683.84/x
  3. Step 3: Cross multiply
    52,222.56x = 78,346.56 × 16,683.84
  4. Step 4: Simplify right side
    52,222.56x = 1,307,121,471.59
  5. Step 5: Solve for x
    x = 1,307,121,471.59/52,222.56
  6. Step 6: Final answer
    x = 25,029.82

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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.