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Finding the Fourth Proportional to 54,702.50, 82,053.74 and 17,265.49

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Solution

The fourth proportional to 54,702.50, 82,053.74 and 17,265.49 is: 25,898.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,702.50 : 82,053.74 = 17,265.49 : x
  2. Step 2: Convert to fraction form
    54,702.50/82,053.74 = 17,265.49/x
  3. Step 3: Cross multiply
    54,702.50x = 82,053.74 × 17,265.49
  4. Step 4: Simplify right side
    54,702.50x = 1,416,697,865.46
  5. Step 5: Solve for x
    x = 1,416,697,865.46/54,702.50
  6. Step 6: Final answer
    x = 25,898.23

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1.5x scale

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.