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Finding the Fourth Proportional to 30,696.21, 42,258.39 and 29,285.58

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Solution

The fourth proportional to 30,696.21, 42,258.39 and 29,285.58 is: 40,316.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,696.21 : 42,258.39 = 29,285.58 : x
  2. Step 2: Convert to fraction form
    30,696.21/42,258.39 = 29,285.58/x
  3. Step 3: Cross multiply
    30,696.21x = 42,258.39 × 29,285.58
  4. Step 4: Simplify right side
    30,696.21x = 1,237,561,461.02
  5. Step 5: Solve for x
    x = 1,237,561,461.02/30,696.21
  6. Step 6: Final answer
    x = 40,316.43

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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.