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Finding the Fourth Proportional to 34,573, 47,716.50 and 26,174.92

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Solution

The fourth proportional to 34,573, 47,716.50 and 26,174.92 is: 36,125.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,573 : 47,716.50 = 26,174.92 : x
  2. Step 2: Convert to fraction form
    34,573/47,716.50 = 26,174.92/x
  3. Step 3: Cross multiply
    34,573x = 47,716.50 × 26,174.92
  4. Step 4: Simplify right side
    34,573x = 1,248,975,570.18
  5. Step 5: Solve for x
    x = 1,248,975,570.18/34,573
  6. Step 6: Final answer
    x = 36,125.75

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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.