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Finding the Fourth Proportional to 37,524.50, 56,275 and 12,558.72

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Solution

The fourth proportional to 37,524.50, 56,275 and 12,558.72 is: 18,834.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,524.50 : 56,275 = 12,558.72 : x
  2. Step 2: Convert to fraction form
    37,524.50/56,275 = 12,558.72/x
  3. Step 3: Cross multiply
    37,524.50x = 56,275 × 12,558.72
  4. Step 4: Simplify right side
    37,524.50x = 706,741,968
  5. Step 5: Solve for x
    x = 706,741,968/37,524.50
  6. Step 6: Final answer
    x = 18,834.15

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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.