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Finding the Fourth Proportional to 57,762.46, 86,655.84 and 32,814.06

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Solution

The fourth proportional to 57,762.46, 86,655.84 and 32,814.06 is: 49,227.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,762.46 : 86,655.84 = 32,814.06 : x
  2. Step 2: Convert to fraction form
    57,762.46/86,655.84 = 32,814.06/x
  3. Step 3: Cross multiply
    57,762.46x = 86,655.84 × 32,814.06
  4. Step 4: Simplify right side
    57,762.46x = 2,843,529,669.68
  5. Step 5: Solve for x
    x = 2,843,529,669.68/57,762.46
  6. Step 6: Final answer
    x = 49,227.99

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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.