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Finding the Fourth Proportional to 37,076.30, 55,618.26 and 13,697.30

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Solution

The fourth proportional to 37,076.30, 55,618.26 and 13,697.30 is: 20,547.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,076.30 : 55,618.26 = 13,697.30 : x
  2. Step 2: Convert to fraction form
    37,076.30/55,618.26 = 13,697.30/x
  3. Step 3: Cross multiply
    37,076.30x = 55,618.26 × 13,697.30
  4. Step 4: Simplify right side
    37,076.30x = 761,819,992.70
  5. Step 5: Solve for x
    x = 761,819,992.70/37,076.30
  6. Step 6: Final answer
    x = 20,547.36

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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.