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Finding the Fourth Proportional to 38,871.32, 53,738.10 and 38,516.13

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Solution

The fourth proportional to 38,871.32, 53,738.10 and 38,516.13 is: 53,247.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,871.32 : 53,738.10 = 38,516.13 : x
  2. Step 2: Convert to fraction form
    38,871.32/53,738.10 = 38,516.13/x
  3. Step 3: Cross multiply
    38,871.32x = 53,738.10 × 38,516.13
  4. Step 4: Simplify right side
    38,871.32x = 2,069,783,645.55
  5. Step 5: Solve for x
    x = 2,069,783,645.55/38,871.32
  6. Step 6: Final answer
    x = 53,247.07

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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.