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Finding the Fourth Proportional to 37,507.54, 56,289 and 17,786.16

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Solution

The fourth proportional to 37,507.54, 56,289 and 17,786.16 is: 26,692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,507.54 : 56,289 = 17,786.16 : x
  2. Step 2: Convert to fraction form
    37,507.54/56,289 = 17,786.16/x
  3. Step 3: Cross multiply
    37,507.54x = 56,289 × 17,786.16
  4. Step 4: Simplify right side
    37,507.54x = 1,001,165,160.24
  5. Step 5: Solve for x
    x = 1,001,165,160.24/37,507.54
  6. Step 6: Final answer
    x = 26,692.37

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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.