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Finding the Fourth Proportional to 38,539.54, 53,193.15 and 23,429

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Solution

The fourth proportional to 38,539.54, 53,193.15 and 23,429 is: 32,337.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,539.54 : 53,193.15 = 23,429 : x
  2. Step 2: Convert to fraction form
    38,539.54/53,193.15 = 23,429/x
  3. Step 3: Cross multiply
    38,539.54x = 53,193.15 × 23,429
  4. Step 4: Simplify right side
    38,539.54x = 1,246,262,194.21
  5. Step 5: Solve for x
    x = 1,246,262,194.21/38,539.54
  6. Step 6: Final answer
    x = 32,337.24

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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.