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Finding the Fourth Proportional to 54,700.76, 82,051.12 and 13,147.76

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Solution

The fourth proportional to 54,700.76, 82,051.12 and 13,147.76 is: 19,721.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,700.76 : 82,051.12 = 13,147.76 : x
  2. Step 2: Convert to fraction form
    54,700.76/82,051.12 = 13,147.76/x
  3. Step 3: Cross multiply
    54,700.76x = 82,051.12 × 13,147.76
  4. Step 4: Simplify right side
    54,700.76x = 1,078,788,433.49
  5. Step 5: Solve for x
    x = 1,078,788,433.49/54,700.76
  6. Step 6: Final answer
    x = 19,721.64

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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.