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Finding the Fourth Proportional to 32,853.85, 45,338.33 and 17,746.51

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Solution

The fourth proportional to 32,853.85, 45,338.33 and 17,746.51 is: 24,490.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,853.85 : 45,338.33 = 17,746.51 : x
  2. Step 2: Convert to fraction form
    32,853.85/45,338.33 = 17,746.51/x
  3. Step 3: Cross multiply
    32,853.85x = 45,338.33 × 17,746.51
  4. Step 4: Simplify right side
    32,853.85x = 804,597,166.16
  5. Step 5: Solve for x
    x = 804,597,166.16/32,853.85
  6. Step 6: Final answer
    x = 24,490.19

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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.