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Finding the Fourth Proportional to 57,709.83, 79,461.93 and 49,192.85

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Solution

The fourth proportional to 57,709.83, 79,461.93 and 49,192.85 is: 67,734.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,709.83 : 79,461.93 = 49,192.85 : x
  2. Step 2: Convert to fraction form
    57,709.83/79,461.93 = 49,192.85/x
  3. Step 3: Cross multiply
    57,709.83x = 79,461.93 × 49,192.85
  4. Step 4: Simplify right side
    57,709.83x = 3,908,958,803.20
  5. Step 5: Solve for x
    x = 3,908,958,803.20/57,709.83
  6. Step 6: Final answer
    x = 67,734.71

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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.