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Finding the Fourth Proportional to 36,474.53, 54,718.28 and 12,457.53

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Solution

The fourth proportional to 36,474.53, 54,718.28 and 12,457.53 is: 18,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,474.53 : 54,718.28 = 12,457.53 : x
  2. Step 2: Convert to fraction form
    36,474.53/54,718.28 = 12,457.53/x
  3. Step 3: Cross multiply
    36,474.53x = 54,718.28 × 12,457.53
  4. Step 4: Simplify right side
    36,474.53x = 681,654,278.77
  5. Step 5: Solve for x
    x = 681,654,278.77/36,474.53
  6. Step 6: Final answer
    x = 18,688.50

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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.