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Finding the Fourth Proportional to 38,716.31, 53,432.04 and 23,609.81

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Solution

The fourth proportional to 38,716.31, 53,432.04 and 23,609.81 is: 32,583.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,716.31 : 53,432.04 = 23,609.81 : x
  2. Step 2: Convert to fraction form
    38,716.31/53,432.04 = 23,609.81/x
  3. Step 3: Cross multiply
    38,716.31x = 53,432.04 × 23,609.81
  4. Step 4: Simplify right side
    38,716.31x = 1,261,520,045.15
  5. Step 5: Solve for x
    x = 1,261,520,045.15/38,716.31
  6. Step 6: Final answer
    x = 32,583.69

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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.