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Finding the Fourth Proportional to 36,076.48, 54,109.92 and 12,700

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Solution

The fourth proportional to 36,076.48, 54,109.92 and 12,700 is: 19,048.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,076.48 : 54,109.92 = 12,700 : x
  2. Step 2: Convert to fraction form
    36,076.48/54,109.92 = 12,700/x
  3. Step 3: Cross multiply
    36,076.48x = 54,109.92 × 12,700
  4. Step 4: Simplify right side
    36,076.48x = 687,195,984
  5. Step 5: Solve for x
    x = 687,195,984/36,076.48
  6. Step 6: Final answer
    x = 19,048.31

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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.