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Finding the Fourth Proportional to 37,771.65, 56,645.36 and 12,465.50

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Solution

The fourth proportional to 37,771.65, 56,645.36 and 12,465.50 is: 18,694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,771.65 : 56,645.36 = 12,465.50 : x
  2. Step 2: Convert to fraction form
    37,771.65/56,645.36 = 12,465.50/x
  3. Step 3: Cross multiply
    37,771.65x = 56,645.36 × 12,465.50
  4. Step 4: Simplify right side
    37,771.65x = 706,112,436.27
  5. Step 5: Solve for x
    x = 706,112,436.27/37,771.65
  6. Step 6: Final answer
    x = 18,694.24

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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.