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Finding the Fourth Proportional to 56,765.32, 85,074.84 and 53,222.32

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Solution

The fourth proportional to 56,765.32, 85,074.84 and 53,222.32 is: 79,764.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,765.32 : 85,074.84 = 53,222.32 : x
  2. Step 2: Convert to fraction form
    56,765.32/85,074.84 = 53,222.32/x
  3. Step 3: Cross multiply
    56,765.32x = 85,074.84 × 53,222.32
  4. Step 4: Simplify right side
    56,765.32x = 4,527,880,358.43
  5. Step 5: Solve for x
    x = 4,527,880,358.43/56,765.32
  6. Step 6: Final answer
    x = 79,764.91

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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.