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Finding the Fourth Proportional to 30,509.40, 42,100.86 and 17,080.56

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Solution

The fourth proportional to 30,509.40, 42,100.86 and 17,080.56 is: 23,569.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,509.40 : 42,100.86 = 17,080.56 : x
  2. Step 2: Convert to fraction form
    30,509.40/42,100.86 = 17,080.56/x
  3. Step 3: Cross multiply
    30,509.40x = 42,100.86 × 17,080.56
  4. Step 4: Simplify right side
    30,509.40x = 719,106,265.28
  5. Step 5: Solve for x
    x = 719,106,265.28/30,509.40
  6. Step 6: Final answer
    x = 23,569.99

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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.