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Finding the Fourth Proportional to 45,472.47, 68,208.84 and 15,890.31

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Solution

The fourth proportional to 45,472.47, 68,208.84 and 15,890.31 is: 23,835.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,472.47 : 68,208.84 = 15,890.31 : x
  2. Step 2: Convert to fraction form
    45,472.47/68,208.84 = 15,890.31/x
  3. Step 3: Cross multiply
    45,472.47x = 68,208.84 × 15,890.31
  4. Step 4: Simplify right side
    45,472.47x = 1,083,859,612.34
  5. Step 5: Solve for x
    x = 1,083,859,612.34/45,472.47
  6. Step 6: Final answer
    x = 23,835.51

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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.