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Finding the Fourth Proportional to 30,571.48, 42,180.63 and 17,647.58

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Solution

The fourth proportional to 30,571.48, 42,180.63 and 17,647.58 is: 24,349.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,571.48 : 42,180.63 = 17,647.58 : x
  2. Step 2: Convert to fraction form
    30,571.48/42,180.63 = 17,647.58/x
  3. Step 3: Cross multiply
    30,571.48x = 42,180.63 × 17,647.58
  4. Step 4: Simplify right side
    30,571.48x = 744,386,042.38
  5. Step 5: Solve for x
    x = 744,386,042.38/30,571.48
  6. Step 6: Final answer
    x = 24,349.04

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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.