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Finding the Fourth Proportional to 37,647.43, 51,931.74 and 23,475.67

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Solution

The fourth proportional to 37,647.43, 51,931.74 and 23,475.67 is: 32,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,647.43 : 51,931.74 = 23,475.67 : x
  2. Step 2: Convert to fraction form
    37,647.43/51,931.74 = 23,475.67/x
  3. Step 3: Cross multiply
    37,647.43x = 51,931.74 × 23,475.67
  4. Step 4: Simplify right side
    37,647.43x = 1,219,132,390.77
  5. Step 5: Solve for x
    x = 1,219,132,390.77/37,647.43
  6. Step 6: Final answer
    x = 32,382.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.