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Finding the Fourth Proportional to 31,081, 42,893.14 and 17,652.28

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Solution

The fourth proportional to 31,081, 42,893.14 and 17,652.28 is: 24,360.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,081 : 42,893.14 = 17,652.28 : x
  2. Step 2: Convert to fraction form
    31,081/42,893.14 = 17,652.28/x
  3. Step 3: Cross multiply
    31,081x = 42,893.14 × 17,652.28
  4. Step 4: Simplify right side
    31,081x = 757,161,717.36
  5. Step 5: Solve for x
    x = 757,161,717.36/31,081
  6. Step 6: Final answer
    x = 24,360.92

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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.