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Finding the Fourth Proportional to 82,903.50, 114,406.83 and 45,177.75

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Solution

The fourth proportional to 82,903.50, 114,406.83 and 45,177.75 is: 62,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,903.50 : 114,406.83 = 45,177.75 : x
  2. Step 2: Convert to fraction form
    82,903.50/114,406.83 = 45,177.75/x
  3. Step 3: Cross multiply
    82,903.50x = 114,406.83 × 45,177.75
  4. Step 4: Simplify right side
    82,903.50x = 5,168,643,164.03
  5. Step 5: Solve for x
    x = 5,168,643,164.03/82,903.50
  6. Step 6: Final answer
    x = 62,345.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.