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Finding the Fourth Proportional to 33,936.06, 46,733.10 and 31,770

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Solution

The fourth proportional to 33,936.06, 46,733.10 and 31,770 is: 43,750.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,936.06 : 46,733.10 = 31,770 : x
  2. Step 2: Convert to fraction form
    33,936.06/46,733.10 = 31,770/x
  3. Step 3: Cross multiply
    33,936.06x = 46,733.10 × 31,770
  4. Step 4: Simplify right side
    33,936.06x = 1,484,710,587
  5. Step 5: Solve for x
    x = 1,484,710,587/33,936.06
  6. Step 6: Final answer
    x = 43,750.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.