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Finding the Fourth Proportional to 82,304.16, 123,457.32 and 54,403.44

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Solution

The fourth proportional to 82,304.16, 123,457.32 and 54,403.44 is: 81,605.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,304.16 : 123,457.32 = 54,403.44 : x
  2. Step 2: Convert to fraction form
    82,304.16/123,457.32 = 54,403.44/x
  3. Step 3: Cross multiply
    82,304.16x = 123,457.32 × 54,403.44
  4. Step 4: Simplify right side
    82,304.16x = 6,716,502,901.18
  5. Step 5: Solve for x
    x = 6,716,502,901.18/82,304.16
  6. Step 6: Final answer
    x = 81,605.87

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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.