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Finding the Fourth Proportional to 38,174.50, 52,680.81 and 21,407.50

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Solution

The fourth proportional to 38,174.50, 52,680.81 and 21,407.50 is: 29,542.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,174.50 : 52,680.81 = 21,407.50 : x
  2. Step 2: Convert to fraction form
    38,174.50/52,680.81 = 21,407.50/x
  3. Step 3: Cross multiply
    38,174.50x = 52,680.81 × 21,407.50
  4. Step 4: Simplify right side
    38,174.50x = 1,127,764,440.08
  5. Step 5: Solve for x
    x = 1,127,764,440.08/38,174.50
  6. Step 6: Final answer
    x = 29,542.35

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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.