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Finding the Fourth Proportional to 52,457.18, 78,709.02 and 27,491.29

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Solution

The fourth proportional to 52,457.18, 78,709.02 and 27,491.29 is: 41,249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,457.18 : 78,709.02 = 27,491.29 : x
  2. Step 2: Convert to fraction form
    52,457.18/78,709.02 = 27,491.29/x
  3. Step 3: Cross multiply
    52,457.18x = 78,709.02 × 27,491.29
  4. Step 4: Simplify right side
    52,457.18x = 2,163,812,194.57
  5. Step 5: Solve for x
    x = 2,163,812,194.57/52,457.18
  6. Step 6: Final answer
    x = 41,249.12

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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.