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Finding the Fourth Proportional to 39,165.50, 54,048.12 and 21,261

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Solution

The fourth proportional to 39,165.50, 54,048.12 and 21,261 is: 29,340.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,165.50 : 54,048.12 = 21,261 : x
  2. Step 2: Convert to fraction form
    39,165.50/54,048.12 = 21,261/x
  3. Step 3: Cross multiply
    39,165.50x = 54,048.12 × 21,261
  4. Step 4: Simplify right side
    39,165.50x = 1,149,117,079.32
  5. Step 5: Solve for x
    x = 1,149,117,079.32/39,165.50
  6. Step 6: Final answer
    x = 29,340.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.