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Finding the Fourth Proportional to 57,796, 79,764.97 and 32,647.12

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Solution

The fourth proportional to 57,796, 79,764.97 and 32,647.12 is: 45,056.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,796 : 79,764.97 = 32,647.12 : x
  2. Step 2: Convert to fraction form
    57,796/79,764.97 = 32,647.12/x
  3. Step 3: Cross multiply
    57,796x = 79,764.97 × 32,647.12
  4. Step 4: Simplify right side
    57,796x = 2,604,096,547.39
  5. Step 5: Solve for x
    x = 2,604,096,547.39/57,796
  6. Step 6: Final answer
    x = 45,056.69

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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.