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Finding the Fourth Proportional to 62,318, 85,998.93 and 34,023.68

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Solution

The fourth proportional to 62,318, 85,998.93 and 34,023.68 is: 46,952.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,318 : 85,998.93 = 34,023.68 : x
  2. Step 2: Convert to fraction form
    62,318/85,998.93 = 34,023.68/x
  3. Step 3: Cross multiply
    62,318x = 85,998.93 × 34,023.68
  4. Step 4: Simplify right side
    62,318x = 2,926,000,074.66
  5. Step 5: Solve for x
    x = 2,926,000,074.66/62,318
  6. Step 6: Final answer
    x = 46,952.73

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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.