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Finding the Fourth Proportional to 57,929.04, 79,943.76 and 32,778

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Solution

The fourth proportional to 57,929.04, 79,943.76 and 32,778 is: 45,234.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,929.04 : 79,943.76 = 32,778 : x
  2. Step 2: Convert to fraction form
    57,929.04/79,943.76 = 32,778/x
  3. Step 3: Cross multiply
    57,929.04x = 79,943.76 × 32,778
  4. Step 4: Simplify right side
    57,929.04x = 2,620,396,565.28
  5. Step 5: Solve for x
    x = 2,620,396,565.28/57,929.04
  6. Step 6: Final answer
    x = 45,234.59

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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.