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Finding the Fourth Proportional to 102,082.50, 153,189.45 and 39,753

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Solution

The fourth proportional to 102,082.50, 153,189.45 and 39,753 is: 59,655.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,082.50 : 153,189.45 = 39,753 : x
  2. Step 2: Convert to fraction form
    102,082.50/153,189.45 = 39,753/x
  3. Step 3: Cross multiply
    102,082.50x = 153,189.45 × 39,753
  4. Step 4: Simplify right side
    102,082.50x = 6,089,740,205.85
  5. Step 5: Solve for x
    x = 6,089,740,205.85/102,082.50
  6. Step 6: Final answer
    x = 59,655.08

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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.