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Finding the Fourth Proportional to 46,125, 69,192.36 and 21,160.80

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Solution

The fourth proportional to 46,125, 69,192.36 and 21,160.80 is: 31,743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,125 : 69,192.36 = 21,160.80 : x
  2. Step 2: Convert to fraction form
    46,125/69,192.36 = 21,160.80/x
  3. Step 3: Cross multiply
    46,125x = 69,192.36 × 21,160.80
  4. Step 4: Simplify right side
    46,125x = 1,464,165,691.49
  5. Step 5: Solve for x
    x = 1,464,165,691.49/46,125
  6. Step 6: Final answer
    x = 31,743.43

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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.