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Finding the Fourth Proportional to 30,966.77, 42,732.71 and 17,538.12

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Solution

The fourth proportional to 30,966.77, 42,732.71 and 17,538.12 is: 24,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,966.77 : 42,732.71 = 17,538.12 : x
  2. Step 2: Convert to fraction form
    30,966.77/42,732.71 = 17,538.12/x
  3. Step 3: Cross multiply
    30,966.77x = 42,732.71 × 17,538.12
  4. Step 4: Simplify right side
    30,966.77x = 749,451,308.21
  5. Step 5: Solve for x
    x = 749,451,308.21/30,966.77
  6. Step 6: Final answer
    x = 24,201.80

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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.