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Finding the Fourth Proportional to 82,089.60, 123,085.02 and 32,110.08

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Solution

The fourth proportional to 82,089.60, 123,085.02 and 32,110.08 is: 48,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,089.60 : 123,085.02 = 32,110.08 : x
  2. Step 2: Convert to fraction form
    82,089.60/123,085.02 = 32,110.08/x
  3. Step 3: Cross multiply
    82,089.60x = 123,085.02 × 32,110.08
  4. Step 4: Simplify right side
    82,089.60x = 3,952,269,839.00
  5. Step 5: Solve for x
    x = 3,952,269,839.00/82,089.60
  6. Step 6: Final answer
    x = 48,145.80

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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.