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Finding the Fourth Proportional to 57,199.76, 78,940.87 and 34,550.00

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Solution

The fourth proportional to 57,199.76, 78,940.87 and 34,550.00 is: 47,682.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,199.76 : 78,940.87 = 34,550.00 : x
  2. Step 2: Convert to fraction form
    57,199.76/78,940.87 = 34,550.00/x
  3. Step 3: Cross multiply
    57,199.76x = 78,940.87 × 34,550.00
  4. Step 4: Simplify right side
    57,199.76x = 2,727,406,577.42
  5. Step 5: Solve for x
    x = 2,727,406,577.42/57,199.76
  6. Step 6: Final answer
    x = 47,682.14

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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.