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Finding the Fourth Proportional to 68,509.50, 102,774.53 and 24,128.43

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Solution

The fourth proportional to 68,509.50, 102,774.53 and 24,128.43 is: 36,196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,509.50 : 102,774.53 = 24,128.43 : x
  2. Step 2: Convert to fraction form
    68,509.50/102,774.53 = 24,128.43/x
  3. Step 3: Cross multiply
    68,509.50x = 102,774.53 × 24,128.43
  4. Step 4: Simplify right side
    68,509.50x = 2,479,788,052.89
  5. Step 5: Solve for x
    x = 2,479,788,052.89/68,509.50
  6. Step 6: Final answer
    x = 36,196.27

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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.