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Finding the Fourth Proportional to 57,634.50, 79,536.84 and 32,484

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Solution

The fourth proportional to 57,634.50, 79,536.84 and 32,484 is: 44,828.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,634.50 : 79,536.84 = 32,484 : x
  2. Step 2: Convert to fraction form
    57,634.50/79,536.84 = 32,484/x
  3. Step 3: Cross multiply
    57,634.50x = 79,536.84 × 32,484
  4. Step 4: Simplify right side
    57,634.50x = 2,583,674,710.56
  5. Step 5: Solve for x
    x = 2,583,674,710.56/57,634.50
  6. Step 6: Final answer
    x = 44,828.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.