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Finding the Fourth Proportional to 30,509.19, 42,080.94 and 27,999.41

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Solution

The fourth proportional to 30,509.19, 42,080.94 and 27,999.41 is: 38,619.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,509.19 : 42,080.94 = 27,999.41 : x
  2. Step 2: Convert to fraction form
    30,509.19/42,080.94 = 27,999.41/x
  3. Step 3: Cross multiply
    30,509.19x = 42,080.94 × 27,999.41
  4. Step 4: Simplify right side
    30,509.19x = 1,178,241,281.84
  5. Step 5: Solve for x
    x = 1,178,241,281.84/30,509.19
  6. Step 6: Final answer
    x = 38,619.23

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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.