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Finding the Fourth Proportional to 82,534.95, 123,801.21 and 20,205.45

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Solution

The fourth proportional to 82,534.95, 123,801.21 and 20,205.45 is: 30,307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,534.95 : 123,801.21 = 20,205.45 : x
  2. Step 2: Convert to fraction form
    82,534.95/123,801.21 = 20,205.45/x
  3. Step 3: Cross multiply
    82,534.95x = 123,801.21 × 20,205.45
  4. Step 4: Simplify right side
    82,534.95x = 2,501,459,158.59
  5. Step 5: Solve for x
    x = 2,501,459,158.59/82,534.95
  6. Step 6: Final answer
    x = 30,307.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.