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Finding the Fourth Proportional to 38,566.40, 53,220.80 and 20,902.40

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Solution

The fourth proportional to 38,566.40, 53,220.80 and 20,902.40 is: 28,844.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,566.40 : 53,220.80 = 20,902.40 : x
  2. Step 2: Convert to fraction form
    38,566.40/53,220.80 = 20,902.40/x
  3. Step 3: Cross multiply
    38,566.40x = 53,220.80 × 20,902.40
  4. Step 4: Simplify right side
    38,566.40x = 1,112,442,449.92
  5. Step 5: Solve for x
    x = 1,112,442,449.92/38,566.40
  6. Step 6: Final answer
    x = 28,844.86

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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.