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Finding the Fourth Proportional to 30,712.58, 42,382.87 and 17,283.83

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Solution

The fourth proportional to 30,712.58, 42,382.87 and 17,283.83 is: 23,851.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,712.58 : 42,382.87 = 17,283.83 : x
  2. Step 2: Convert to fraction form
    30,712.58/42,382.87 = 17,283.83/x
  3. Step 3: Cross multiply
    30,712.58x = 42,382.87 × 17,283.83
  4. Step 4: Simplify right side
    30,712.58x = 732,538,319.99
  5. Step 5: Solve for x
    x = 732,538,319.99/30,712.58
  6. Step 6: Final answer
    x = 23,851.41

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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.