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Finding the Fourth Proportional to 52,166.78, 78,255.80 and 16,619.72

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Solution

The fourth proportional to 52,166.78, 78,255.80 and 16,619.72 is: 24,931.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,166.78 : 78,255.80 = 16,619.72 : x
  2. Step 2: Convert to fraction form
    52,166.78/78,255.80 = 16,619.72/x
  3. Step 3: Cross multiply
    52,166.78x = 78,255.80 × 16,619.72
  4. Step 4: Simplify right side
    52,166.78x = 1,300,589,165.81
  5. Step 5: Solve for x
    x = 1,300,589,165.81/52,166.78
  6. Step 6: Final answer
    x = 24,931.37

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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.