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Finding the Fourth Proportional to 38,835.34, 53,592.26 and 21,842.40

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Solution

The fourth proportional to 38,835.34, 53,592.26 and 21,842.40 is: 30,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,835.34 : 53,592.26 = 21,842.40 : x
  2. Step 2: Convert to fraction form
    38,835.34/53,592.26 = 21,842.40/x
  3. Step 3: Cross multiply
    38,835.34x = 53,592.26 × 21,842.40
  4. Step 4: Simplify right side
    38,835.34x = 1,170,583,579.82
  5. Step 5: Solve for x
    x = 1,170,583,579.82/38,835.34
  6. Step 6: Final answer
    x = 30,142.23

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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.