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Finding the Fourth Proportional to 54,700.64, 82,050.92 and 13,147.64

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Solution

The fourth proportional to 54,700.64, 82,050.92 and 13,147.64 is: 19,721.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,700.64 : 82,050.92 = 13,147.64 : x
  2. Step 2: Convert to fraction form
    54,700.64/82,050.92 = 13,147.64/x
  3. Step 3: Cross multiply
    54,700.64x = 82,050.92 × 13,147.64
  4. Step 4: Simplify right side
    54,700.64x = 1,078,775,957.83
  5. Step 5: Solve for x
    x = 1,078,775,957.83/54,700.64
  6. Step 6: Final answer
    x = 19,721.45

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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.