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Finding the Fourth Proportional to 54,702.76, 82,054.12 and 13,149.76

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Solution

The fourth proportional to 54,702.76, 82,054.12 and 13,149.76 is: 19,724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,702.76 : 82,054.12 = 13,149.76 : x
  2. Step 2: Convert to fraction form
    54,702.76/82,054.12 = 13,149.76/x
  3. Step 3: Cross multiply
    54,702.76x = 82,054.12 × 13,149.76
  4. Step 4: Simplify right side
    54,702.76x = 1,078,991,985.01
  5. Step 5: Solve for x
    x = 1,078,991,985.01/54,702.76
  6. Step 6: Final answer
    x = 19,724.64

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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.