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Finding the Fourth Proportional to 57,600.50, 79,492.77 and 32,450

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Solution

The fourth proportional to 57,600.50, 79,492.77 and 32,450 is: 44,783.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,600.50 : 79,492.77 = 32,450 : x
  2. Step 2: Convert to fraction form
    57,600.50/79,492.77 = 32,450/x
  3. Step 3: Cross multiply
    57,600.50x = 79,492.77 × 32,450
  4. Step 4: Simplify right side
    57,600.50x = 2,579,540,386.50
  5. Step 5: Solve for x
    x = 2,579,540,386.50/57,600.50
  6. Step 6: Final answer
    x = 44,783.30

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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.