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Finding the Fourth Proportional to 52,457.39, 78,709.34 and 27,491.50

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Solution

The fourth proportional to 52,457.39, 78,709.34 and 27,491.50 is: 41,249.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,457.39 : 78,709.34 = 27,491.50 : x
  2. Step 2: Convert to fraction form
    52,457.39/78,709.34 = 27,491.50/x
  3. Step 3: Cross multiply
    52,457.39x = 78,709.34 × 27,491.50
  4. Step 4: Simplify right side
    52,457.39x = 2,163,837,820.61
  5. Step 5: Solve for x
    x = 2,163,837,820.61/52,457.39
  6. Step 6: Final answer
    x = 41,249.44

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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.