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Finding the Fourth Proportional to 30,584.88, 42,204.48 and 17,154

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Solution

The fourth proportional to 30,584.88, 42,204.48 and 17,154 is: 23,671.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,584.88 : 42,204.48 = 17,154 : x
  2. Step 2: Convert to fraction form
    30,584.88/42,204.48 = 17,154/x
  3. Step 3: Cross multiply
    30,584.88x = 42,204.48 × 17,154
  4. Step 4: Simplify right side
    30,584.88x = 723,975,649.92
  5. Step 5: Solve for x
    x = 723,975,649.92/30,584.88
  6. Step 6: Final answer
    x = 23,671.03

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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.