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Finding the Fourth Proportional to 32,391.42, 44,700.24 and 18,782.10

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Solution

The fourth proportional to 32,391.42, 44,700.24 and 18,782.10 is: 25,919.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,391.42 : 44,700.24 = 18,782.10 : x
  2. Step 2: Convert to fraction form
    32,391.42/44,700.24 = 18,782.10/x
  3. Step 3: Cross multiply
    32,391.42x = 44,700.24 × 18,782.10
  4. Step 4: Simplify right side
    32,391.42x = 839,564,377.70
  5. Step 5: Solve for x
    x = 839,564,377.70/32,391.42
  6. Step 6: Final answer
    x = 25,919.34

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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.