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Finding the Fourth Proportional to 58,307.05, 80,462.84 and 32,811.42

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Solution

The fourth proportional to 58,307.05, 80,462.84 and 32,811.42 is: 45,279.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,307.05 : 80,462.84 = 32,811.42 : x
  2. Step 2: Convert to fraction form
    58,307.05/80,462.84 = 32,811.42/x
  3. Step 3: Cross multiply
    58,307.05x = 80,462.84 × 32,811.42
  4. Step 4: Simplify right side
    58,307.05x = 2,640,100,175.31
  5. Step 5: Solve for x
    x = 2,640,100,175.31/58,307.05
  6. Step 6: Final answer
    x = 45,279.26

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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.