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Finding the Fourth Proportional to 58,225, 80,350.50 and 31,729

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Solution

The fourth proportional to 58,225, 80,350.50 and 31,729 is: 43,786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,225 : 80,350.50 = 31,729 : x
  2. Step 2: Convert to fraction form
    58,225/80,350.50 = 31,729/x
  3. Step 3: Cross multiply
    58,225x = 80,350.50 × 31,729
  4. Step 4: Simplify right side
    58,225x = 2,549,441,014.50
  5. Step 5: Solve for x
    x = 2,549,441,014.50/58,225
  6. Step 6: Final answer
    x = 43,786.02

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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.