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Finding the Fourth Proportional to 86,776.20, 129,905.10 and 51,697.80

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Solution

The fourth proportional to 86,776.20, 129,905.10 and 51,697.80 is: 77,392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,776.20 : 129,905.10 = 51,697.80 : x
  2. Step 2: Convert to fraction form
    86,776.20/129,905.10 = 51,697.80/x
  3. Step 3: Cross multiply
    86,776.20x = 129,905.10 × 51,697.80
  4. Step 4: Simplify right side
    86,776.20x = 6,715,807,878.78
  5. Step 5: Solve for x
    x = 6,715,807,878.78/86,776.20
  6. Step 6: Final answer
    x = 77,392.28

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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.