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Finding the Fourth Proportional to 54,946, 82,423.32 and 23,781.52

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Solution

The fourth proportional to 54,946, 82,423.32 and 23,781.52 is: 35,674.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,946 : 82,423.32 = 23,781.52 : x
  2. Step 2: Convert to fraction form
    54,946/82,423.32 = 23,781.52/x
  3. Step 3: Cross multiply
    54,946x = 82,423.32 × 23,781.52
  4. Step 4: Simplify right side
    54,946x = 1,960,151,833.05
  5. Step 5: Solve for x
    x = 1,960,151,833.05/54,946
  6. Step 6: Final answer
    x = 35,674.15

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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.