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Finding the Fourth Proportional to 82,935.52, 114,451.02 and 45,209.80

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Solution

The fourth proportional to 82,935.52, 114,451.02 and 45,209.80 is: 62,389.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,935.52 : 114,451.02 = 45,209.80 : x
  2. Step 2: Convert to fraction form
    82,935.52/114,451.02 = 45,209.80/x
  3. Step 3: Cross multiply
    82,935.52x = 114,451.02 × 45,209.80
  4. Step 4: Simplify right side
    82,935.52x = 5,174,307,724.00
  5. Step 5: Solve for x
    x = 5,174,307,724.00/82,935.52
  6. Step 6: Final answer
    x = 62,389.53

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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.