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Finding the Fourth Proportional to 30,509.38, 42,102.74 and 17,080.58

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Solution

The fourth proportional to 30,509.38, 42,102.74 and 17,080.58 is: 23,571.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,509.38 : 42,102.74 = 17,080.58 : x
  2. Step 2: Convert to fraction form
    30,509.38/42,102.74 = 17,080.58/x
  3. Step 3: Cross multiply
    30,509.38x = 42,102.74 × 17,080.58
  4. Step 4: Simplify right side
    30,509.38x = 719,139,218.79
  5. Step 5: Solve for x
    x = 719,139,218.79/30,509.38
  6. Step 6: Final answer
    x = 23,571.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.