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Finding the Fourth Proportional to 54,575.66, 75,286.85 and 31,899.84

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Solution

The fourth proportional to 54,575.66, 75,286.85 and 31,899.84 is: 44,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,575.66 : 75,286.85 = 31,899.84 : x
  2. Step 2: Convert to fraction form
    54,575.66/75,286.85 = 31,899.84/x
  3. Step 3: Cross multiply
    54,575.66x = 75,286.85 × 31,899.84
  4. Step 4: Simplify right side
    54,575.66x = 2,401,638,469.10
  5. Step 5: Solve for x
    x = 2,401,638,469.10/54,575.66
  6. Step 6: Final answer
    x = 44,005.67

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1.5x scale

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.