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Finding the Fourth Proportional to 57,898, 79,899.24 and 32,746.96

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Solution

The fourth proportional to 57,898, 79,899.24 and 32,746.96 is: 45,190.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,898 : 79,899.24 = 32,746.96 : x
  2. Step 2: Convert to fraction form
    57,898/79,899.24 = 32,746.96/x
  3. Step 3: Cross multiply
    57,898x = 79,899.24 × 32,746.96
  4. Step 4: Simplify right side
    57,898x = 2,616,457,216.31
  5. Step 5: Solve for x
    x = 2,616,457,216.31/57,898
  6. Step 6: Final answer
    x = 45,190.80

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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.