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Finding the Fourth Proportional to 82,801.30, 124,218.15 and 35,416.30

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Solution

The fourth proportional to 82,801.30, 124,218.15 and 35,416.30 is: 53,131.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,801.30 : 124,218.15 = 35,416.30 : x
  2. Step 2: Convert to fraction form
    82,801.30/124,218.15 = 35,416.30/x
  3. Step 3: Cross multiply
    82,801.30x = 124,218.15 × 35,416.30
  4. Step 4: Simplify right side
    82,801.30x = 4,399,347,265.85
  5. Step 5: Solve for x
    x = 4,399,347,265.85/82,801.30
  6. Step 6: Final answer
    x = 53,131.38

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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.