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Finding the Fourth Proportional to 38,200.56, 52,702.32 and 28,152.96

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Solution

The fourth proportional to 38,200.56, 52,702.32 and 28,152.96 is: 38,840.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200.56 : 52,702.32 = 28,152.96 : x
  2. Step 2: Convert to fraction form
    38,200.56/52,702.32 = 28,152.96/x
  3. Step 3: Cross multiply
    38,200.56x = 52,702.32 × 28,152.96
  4. Step 4: Simplify right side
    38,200.56x = 1,483,726,306.87
  5. Step 5: Solve for x
    x = 1,483,726,306.87/38,200.56
  6. Step 6: Final answer
    x = 38,840.43

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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.