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Finding the Fourth Proportional to 32,854.22, 45,338.82 and 17,746.88

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Solution

The fourth proportional to 32,854.22, 45,338.82 and 17,746.88 is: 24,490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,854.22 : 45,338.82 = 17,746.88 : x
  2. Step 2: Convert to fraction form
    32,854.22/45,338.82 = 17,746.88/x
  3. Step 3: Cross multiply
    32,854.22x = 45,338.82 × 17,746.88
  4. Step 4: Simplify right side
    32,854.22x = 804,622,737.10
  5. Step 5: Solve for x
    x = 804,622,737.10/32,854.22
  6. Step 6: Final answer
    x = 24,490.70

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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.