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Finding the Fourth Proportional to 83,025.50, 114,575.20 and 53,217.50

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Solution

The fourth proportional to 83,025.50, 114,575.20 and 53,217.50 is: 73,440.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,025.50 : 114,575.20 = 53,217.50 : x
  2. Step 2: Convert to fraction form
    83,025.50/114,575.20 = 53,217.50/x
  3. Step 3: Cross multiply
    83,025.50x = 114,575.20 × 53,217.50
  4. Step 4: Simplify right side
    83,025.50x = 6,097,405,706
  5. Step 5: Solve for x
    x = 6,097,405,706/83,025.50
  6. Step 6: Final answer
    x = 73,440.16

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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.