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Finding the Fourth Proportional to 37,805.00, 56,703.44 and 11,509.97

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Solution

The fourth proportional to 37,805.00, 56,703.44 and 11,509.97 is: 17,263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,805.00 : 56,703.44 = 11,509.97 : x
  2. Step 2: Convert to fraction form
    37,805.00/56,703.44 = 11,509.97/x
  3. Step 3: Cross multiply
    37,805.00x = 56,703.44 × 11,509.97
  4. Step 4: Simplify right side
    37,805.00x = 652,654,638.55
  5. Step 5: Solve for x
    x = 652,654,638.55/37,805.00
  6. Step 6: Final answer
    x = 17,263.71

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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.