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Finding the Fourth Proportional to 37,882.35, 56,829.90 and 11,580.95

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Solution

The fourth proportional to 37,882.35, 56,829.90 and 11,580.95 is: 17,373.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,882.35 : 56,829.90 = 11,580.95 : x
  2. Step 2: Convert to fraction form
    37,882.35/56,829.90 = 11,580.95/x
  3. Step 3: Cross multiply
    37,882.35x = 56,829.90 × 11,580.95
  4. Step 4: Simplify right side
    37,882.35x = 658,143,946.26
  5. Step 5: Solve for x
    x = 658,143,946.26/37,882.35
  6. Step 6: Final answer
    x = 17,373.37

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