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Finding the Fourth Proportional to 37,703.34, 52,001.46 and 27,628.02

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Solution

The fourth proportional to 37,703.34, 52,001.46 and 27,628.02 is: 38,105.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,703.34 : 52,001.46 = 27,628.02 : x
  2. Step 2: Convert to fraction form
    37,703.34/52,001.46 = 27,628.02/x
  3. Step 3: Cross multiply
    37,703.34x = 52,001.46 × 27,628.02
  4. Step 4: Simplify right side
    37,703.34x = 1,436,697,376.91
  5. Step 5: Solve for x
    x = 1,436,697,376.91/37,703.34
  6. Step 6: Final answer
    x = 38,105.31

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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.