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Finding the Fourth Proportional to 56,138.80, 83,797.17 and 49,495.96

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Solution

The fourth proportional to 56,138.80, 83,797.17 and 49,495.96 is: 73,881.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,138.80 : 83,797.17 = 49,495.96 : x
  2. Step 2: Convert to fraction form
    56,138.80/83,797.17 = 49,495.96/x
  3. Step 3: Cross multiply
    56,138.80x = 83,797.17 × 49,495.96
  4. Step 4: Simplify right side
    56,138.80x = 4,147,621,126.95
  5. Step 5: Solve for x
    x = 4,147,621,126.95/56,138.80
  6. Step 6: Final answer
    x = 73,881.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.