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Finding the Fourth Proportional to 37,783, 56,675.70 and 11,487.97

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Solution

The fourth proportional to 37,783, 56,675.70 and 11,487.97 is: 17,232.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,783 : 56,675.70 = 11,487.97 : x
  2. Step 2: Convert to fraction form
    37,783/56,675.70 = 11,487.97/x
  3. Step 3: Cross multiply
    37,783x = 56,675.70 × 11,487.97
  4. Step 4: Simplify right side
    37,783x = 651,088,741.33
  5. Step 5: Solve for x
    x = 651,088,741.33/37,783
  6. Step 6: Final answer
    x = 17,232.32

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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.