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Finding the Fourth Proportional to 38,164.14, 52,666.50 and 23,260.14

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Solution

The fourth proportional to 38,164.14, 52,666.50 and 23,260.14 is: 32,098.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,164.14 : 52,666.50 = 23,260.14 : x
  2. Step 2: Convert to fraction form
    38,164.14/52,666.50 = 23,260.14/x
  3. Step 3: Cross multiply
    38,164.14x = 52,666.50 × 23,260.14
  4. Step 4: Simplify right side
    38,164.14x = 1,225,030,163.31
  5. Step 5: Solve for x
    x = 1,225,030,163.31/38,164.14
  6. Step 6: Final answer
    x = 32,098.99

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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.