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Finding the Fourth Proportional to 76,538.62, 114,860.18 and 26,618.22

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Solution

The fourth proportional to 76,538.62, 114,860.18 and 26,618.22 is: 39,945.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,538.62 : 114,860.18 = 26,618.22 : x
  2. Step 2: Convert to fraction form
    76,538.62/114,860.18 = 26,618.22/x
  3. Step 3: Cross multiply
    76,538.62x = 114,860.18 × 26,618.22
  4. Step 4: Simplify right side
    76,538.62x = 3,057,373,457.30
  5. Step 5: Solve for x
    x = 3,057,373,457.30/76,538.62
  6. Step 6: Final answer
    x = 39,945.50

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Why These Related Problems?

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