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Finding the Fourth Proportional to 31,296.52, 46,702.13 and 27,973

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Solution

The fourth proportional to 31,296.52, 46,702.13 and 27,973 is: 41,742.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,296.52 : 46,702.13 = 27,973 : x
  2. Step 2: Convert to fraction form
    31,296.52/46,702.13 = 27,973/x
  3. Step 3: Cross multiply
    31,296.52x = 46,702.13 × 27,973
  4. Step 4: Simplify right side
    31,296.52x = 1,306,398,682.49
  5. Step 5: Solve for x
    x = 1,306,398,682.49/31,296.52
  6. Step 6: Final answer
    x = 41,742.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.