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Finding the Fourth Proportional to 33,701.16, 46,507.76 and 18,594

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Solution

The fourth proportional to 33,701.16, 46,507.76 and 18,594 is: 25,659.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,701.16 : 46,507.76 = 18,594 : x
  2. Step 2: Convert to fraction form
    33,701.16/46,507.76 = 18,594/x
  3. Step 3: Cross multiply
    33,701.16x = 46,507.76 × 18,594
  4. Step 4: Simplify right side
    33,701.16x = 864,765,289.44
  5. Step 5: Solve for x
    x = 864,765,289.44/33,701.16
  6. Step 6: Final answer
    x = 25,659.81

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