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Finding the Fourth Proportional to 30,507.66, 42,101.37 and 17,078.85

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Solution

The fourth proportional to 30,507.66, 42,101.37 and 17,078.85 is: 23,569.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,507.66 : 42,101.37 = 17,078.85 : x
  2. Step 2: Convert to fraction form
    30,507.66/42,101.37 = 17,078.85/x
  3. Step 3: Cross multiply
    30,507.66x = 42,101.37 × 17,078.85
  4. Step 4: Simplify right side
    30,507.66x = 719,042,983.02
  5. Step 5: Solve for x
    x = 719,042,983.02/30,507.66
  6. Step 6: Final answer
    x = 23,569.26

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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.