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Finding the Fourth Proportional to 51,901, 71,623.46 and 29,545

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Solution

The fourth proportional to 51,901, 71,623.46 and 29,545 is: 40,772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,901 : 71,623.46 = 29,545 : x
  2. Step 2: Convert to fraction form
    51,901/71,623.46 = 29,545/x
  3. Step 3: Cross multiply
    51,901x = 71,623.46 × 29,545
  4. Step 4: Simplify right side
    51,901x = 2,116,115,125.70
  5. Step 5: Solve for x
    x = 2,116,115,125.70/51,901
  6. Step 6: Final answer
    x = 40,772.15

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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.