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Finding the Fourth Proportional to 92,883.18, 128,177.64 and 50,442

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Solution

The fourth proportional to 92,883.18, 128,177.64 and 50,442 is: 69,609.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,883.18 : 128,177.64 = 50,442 : x
  2. Step 2: Convert to fraction form
    92,883.18/128,177.64 = 50,442/x
  3. Step 3: Cross multiply
    92,883.18x = 128,177.64 × 50,442
  4. Step 4: Simplify right side
    92,883.18x = 6,465,536,516.88
  5. Step 5: Solve for x
    x = 6,465,536,516.88/92,883.18
  6. Step 6: Final answer
    x = 69,609.34

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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.