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Finding the Fourth Proportional to 33,665.40, 46,407.54 and 27,686.70

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Solution

The fourth proportional to 33,665.40, 46,407.54 and 27,686.70 is: 38,165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,665.40 : 46,407.54 = 27,686.70 : x
  2. Step 2: Convert to fraction form
    33,665.40/46,407.54 = 27,686.70/x
  3. Step 3: Cross multiply
    33,665.40x = 46,407.54 × 27,686.70
  4. Step 4: Simplify right side
    33,665.40x = 1,284,871,637.72
  5. Step 5: Solve for x
    x = 1,284,871,637.72/33,665.40
  6. Step 6: Final answer
    x = 38,165.94

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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.