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Finding the Fourth Proportional to 83,110, 114,700.10 and 49,576

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Solution

The fourth proportional to 83,110, 114,700.10 and 49,576 is: 68,419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,110 : 114,700.10 = 49,576 : x
  2. Step 2: Convert to fraction form
    83,110/114,700.10 = 49,576/x
  3. Step 3: Cross multiply
    83,110x = 114,700.10 × 49,576
  4. Step 4: Simplify right side
    83,110x = 5,686,372,157.60
  5. Step 5: Solve for x
    x = 5,686,372,157.60/83,110
  6. Step 6: Final answer
    x = 68,419.83

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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.