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Finding the Fourth Proportional to 52,131, 78,144.66 and 24,379.32

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Solution

The fourth proportional to 52,131, 78,144.66 and 24,379.32 is: 36,544.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,131 : 78,144.66 = 24,379.32 : x
  2. Step 2: Convert to fraction form
    52,131/78,144.66 = 24,379.32/x
  3. Step 3: Cross multiply
    52,131x = 78,144.66 × 24,379.32
  4. Step 4: Simplify right side
    52,131x = 1,905,113,672.43
  5. Step 5: Solve for x
    x = 1,905,113,672.43/52,131
  6. Step 6: Final answer
    x = 36,544.74

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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.