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Finding the Fourth Proportional to 52,771.74, 79,074.99 and 31,659.90

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Solution

The fourth proportional to 52,771.74, 79,074.99 and 31,659.90 is: 47,440.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,771.74 : 79,074.99 = 31,659.90 : x
  2. Step 2: Convert to fraction form
    52,771.74/79,074.99 = 31,659.90/x
  3. Step 3: Cross multiply
    52,771.74x = 79,074.99 × 31,659.90
  4. Step 4: Simplify right side
    52,771.74x = 2,503,506,275.90
  5. Step 5: Solve for x
    x = 2,503,506,275.90/52,771.74
  6. Step 6: Final answer
    x = 47,440.28

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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.