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Finding the Fourth Proportional to 82,403.40, 123,653.70 and 54,404.40

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Solution

The fourth proportional to 82,403.40, 123,653.70 and 54,404.40 is: 81,638.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,403.40 : 123,653.70 = 54,404.40 : x
  2. Step 2: Convert to fraction form
    82,403.40/123,653.70 = 54,404.40/x
  3. Step 3: Cross multiply
    82,403.40x = 123,653.70 × 54,404.40
  4. Step 4: Simplify right side
    82,403.40x = 6,727,305,356.28
  5. Step 5: Solve for x
    x = 6,727,305,356.28/82,403.40
  6. Step 6: Final answer
    x = 81,638.69

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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.