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Finding the Fourth Proportional to 33,205.66, 45,823.80 and 18,301.66

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Solution

The fourth proportional to 33,205.66, 45,823.80 and 18,301.66 is: 25,256.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,205.66 : 45,823.80 = 18,301.66 : x
  2. Step 2: Convert to fraction form
    33,205.66/45,823.80 = 18,301.66/x
  3. Step 3: Cross multiply
    33,205.66x = 45,823.80 × 18,301.66
  4. Step 4: Simplify right side
    33,205.66x = 838,651,607.51
  5. Step 5: Solve for x
    x = 838,651,607.51/33,205.66
  6. Step 6: Final answer
    x = 25,256.28

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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.