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Finding the Fourth Proportional to 30,102.86, 41,538.02 and 17,356.52

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Solution

The fourth proportional to 30,102.86, 41,538.02 and 17,356.52 is: 23,949.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,102.86 : 41,538.02 = 17,356.52 : x
  2. Step 2: Convert to fraction form
    30,102.86/41,538.02 = 17,356.52/x
  3. Step 3: Cross multiply
    30,102.86x = 41,538.02 × 17,356.52
  4. Step 4: Simplify right side
    30,102.86x = 720,955,491.95
  5. Step 5: Solve for x
    x = 720,955,491.95/30,102.86
  6. Step 6: Final answer
    x = 23,949.73

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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.