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Finding the Fourth Proportional to 32,746.23, 45,189.81 and 17,842.23

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Solution

The fourth proportional to 32,746.23, 45,189.81 and 17,842.23 is: 24,622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,746.23 : 45,189.81 = 17,842.23 : x
  2. Step 2: Convert to fraction form
    32,746.23/45,189.81 = 17,842.23/x
  3. Step 3: Cross multiply
    32,746.23x = 45,189.81 × 17,842.23
  4. Step 4: Simplify right side
    32,746.23x = 806,286,983.68
  5. Step 5: Solve for x
    x = 806,286,983.68/32,746.23
  6. Step 6: Final answer
    x = 24,622.28

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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.