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Finding the Fourth Proportional to 29,652.42, 44,475.36 and 7,465.80

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Solution

The fourth proportional to 29,652.42, 44,475.36 and 7,465.80 is: 11,197.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,652.42 : 44,475.36 = 7,465.80 : x
  2. Step 2: Convert to fraction form
    29,652.42/44,475.36 = 7,465.80/x
  3. Step 3: Cross multiply
    29,652.42x = 44,475.36 × 7,465.80
  4. Step 4: Simplify right side
    29,652.42x = 332,043,948.21
  5. Step 5: Solve for x
    x = 332,043,948.21/29,652.42
  6. Step 6: Final answer
    x = 11,197.87

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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.