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Finding the Fourth Proportional to 54,851.64, 82,169.46 and 34,799.28

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Solution

The fourth proportional to 54,851.64, 82,169.46 and 34,799.28 is: 52,130.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,851.64 : 82,169.46 = 34,799.28 : x
  2. Step 2: Convert to fraction form
    54,851.64/82,169.46 = 34,799.28/x
  3. Step 3: Cross multiply
    54,851.64x = 82,169.46 × 34,799.28
  4. Step 4: Simplify right side
    54,851.64x = 2,859,438,045.99
  5. Step 5: Solve for x
    x = 2,859,438,045.99/54,851.64
  6. Step 6: Final answer
    x = 52,130.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.