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Finding the Fourth Proportional to 57,829.86, 79,804.17 and 32,678.82

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Solution

The fourth proportional to 57,829.86, 79,804.17 and 32,678.82 is: 45,096.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,829.86 : 79,804.17 = 32,678.82 : x
  2. Step 2: Convert to fraction form
    57,829.86/79,804.17 = 32,678.82/x
  3. Step 3: Cross multiply
    57,829.86x = 79,804.17 × 32,678.82
  4. Step 4: Simplify right side
    57,829.86x = 2,607,906,106.68
  5. Step 5: Solve for x
    x = 2,607,906,106.68/57,829.86
  6. Step 6: Final answer
    x = 45,096.19

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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.