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Finding the Fourth Proportional to 47,294.25, 70,874.98 and 25,891.94

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Solution

The fourth proportional to 47,294.25, 70,874.98 and 25,891.94 is: 38,801.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,294.25 : 70,874.98 = 25,891.94 : x
  2. Step 2: Convert to fraction form
    47,294.25/70,874.98 = 25,891.94/x
  3. Step 3: Cross multiply
    47,294.25x = 70,874.98 × 25,891.94
  4. Step 4: Simplify right side
    47,294.25x = 1,835,090,762.31
  5. Step 5: Solve for x
    x = 1,835,090,762.31/47,294.25
  6. Step 6: Final answer
    x = 38,801.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.