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Finding the Fourth Proportional to 30,509.31, 42,102.86 and 17,080.59

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Solution

The fourth proportional to 30,509.31, 42,102.86 and 17,080.59 is: 23,571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,509.31 : 42,102.86 = 17,080.59 : x
  2. Step 2: Convert to fraction form
    30,509.31/42,102.86 = 17,080.59/x
  3. Step 3: Cross multiply
    30,509.31x = 42,102.86 × 17,080.59
  4. Step 4: Simplify right side
    30,509.31x = 719,141,689.49
  5. Step 5: Solve for x
    x = 719,141,689.49/30,509.31
  6. Step 6: Final answer
    x = 23,571.22

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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.