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Finding the Fourth Proportional to 56,536.70, 84,814.65 and 30,234.30

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Solution

The fourth proportional to 56,536.70, 84,814.65 and 30,234.30 is: 45,356.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,536.70 : 84,814.65 = 30,234.30 : x
  2. Step 2: Convert to fraction form
    56,536.70/84,814.65 = 30,234.30/x
  3. Step 3: Cross multiply
    56,536.70x = 84,814.65 × 30,234.30
  4. Step 4: Simplify right side
    56,536.70x = 2,564,311,572.50
  5. Step 5: Solve for x
    x = 2,564,311,572.50/56,536.70
  6. Step 6: Final answer
    x = 45,356.58

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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.