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Finding the Fourth Proportional to 54,702.68, 82,054.02 and 17,265.66

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Solution

The fourth proportional to 54,702.68, 82,054.02 and 17,265.66 is: 25,898.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,702.68 : 82,054.02 = 17,265.66 : x
  2. Step 2: Convert to fraction form
    54,702.68/82,054.02 = 17,265.66/x
  3. Step 3: Cross multiply
    54,702.68x = 82,054.02 × 17,265.66
  4. Step 4: Simplify right side
    54,702.68x = 1,416,716,810.95
  5. Step 5: Solve for x
    x = 1,416,716,810.95/54,702.68
  6. Step 6: Final answer
    x = 25,898.49

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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.