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Finding the Fourth Proportional to 82,903, 114,406.14 and 45,177.26

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Solution

The fourth proportional to 82,903, 114,406.14 and 45,177.26 is: 62,344.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,903 : 114,406.14 = 45,177.26 : x
  2. Step 2: Convert to fraction form
    82,903/114,406.14 = 45,177.26/x
  3. Step 3: Cross multiply
    82,903x = 114,406.14 × 45,177.26
  4. Step 4: Simplify right side
    82,903x = 5,168,555,932.38
  5. Step 5: Solve for x
    x = 5,168,555,932.38/82,903
  6. Step 6: Final answer
    x = 62,344.62

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1.5x scale

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.