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Finding the Fourth Proportional to 38,313.58, 52,860.42 and 23,201.40

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Solution

The fourth proportional to 38,313.58, 52,860.42 and 23,201.40 is: 32,010.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,313.58 : 52,860.42 = 23,201.40 : x
  2. Step 2: Convert to fraction form
    38,313.58/52,860.42 = 23,201.40/x
  3. Step 3: Cross multiply
    38,313.58x = 52,860.42 × 23,201.40
  4. Step 4: Simplify right side
    38,313.58x = 1,226,435,748.59
  5. Step 5: Solve for x
    x = 1,226,435,748.59/38,313.58
  6. Step 6: Final answer
    x = 32,010.47

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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.