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Finding the Fourth Proportional to 77,538.30, 116,308.17 and 21,379.38

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Solution

The fourth proportional to 77,538.30, 116,308.17 and 21,379.38 is: 32,069.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,538.30 : 116,308.17 = 21,379.38 : x
  2. Step 2: Convert to fraction form
    77,538.30/116,308.17 = 21,379.38/x
  3. Step 3: Cross multiply
    77,538.30x = 116,308.17 × 21,379.38
  4. Step 4: Simplify right side
    77,538.30x = 2,486,596,563.53
  5. Step 5: Solve for x
    x = 2,486,596,563.53/77,538.30
  6. Step 6: Final answer
    x = 32,069.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.