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Finding the Fourth Proportional to 38,539.79, 53,193.49 and 23,429.25

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Solution

The fourth proportional to 38,539.79, 53,193.49 and 23,429.25 is: 32,337.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,539.79 : 53,193.49 = 23,429.25 : x
  2. Step 2: Convert to fraction form
    38,539.79/53,193.49 = 23,429.25/x
  3. Step 3: Cross multiply
    38,539.79x = 53,193.49 × 23,429.25
  4. Step 4: Simplify right side
    38,539.79x = 1,246,283,517.01
  5. Step 5: Solve for x
    x = 1,246,283,517.01/38,539.79
  6. Step 6: Final answer
    x = 32,337.58

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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.