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Finding the Fourth Proportional to 68,225.76, 102,352.44 and 28,782.96

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Solution

The fourth proportional to 68,225.76, 102,352.44 and 28,782.96 is: 43,180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,225.76 : 102,352.44 = 28,782.96 : x
  2. Step 2: Convert to fraction form
    68,225.76/102,352.44 = 28,782.96/x
  3. Step 3: Cross multiply
    68,225.76x = 102,352.44 × 28,782.96
  4. Step 4: Simplify right side
    68,225.76x = 2,946,006,186.42
  5. Step 5: Solve for x
    x = 2,946,006,186.42/68,225.76
  6. Step 6: Final answer
    x = 43,180.26

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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.