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Finding the Fourth Proportional to 102,349.61, 153,503.24 and 27,451.95

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Solution

The fourth proportional to 102,349.61, 153,503.24 and 27,451.95 is: 41,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,349.61 : 153,503.24 = 27,451.95 : x
  2. Step 2: Convert to fraction form
    102,349.61/153,503.24 = 27,451.95/x
  3. Step 3: Cross multiply
    102,349.61x = 153,503.24 × 27,451.95
  4. Step 4: Simplify right side
    102,349.61x = 4,213,962,556.42
  5. Step 5: Solve for x
    x = 4,213,962,556.42/102,349.61
  6. Step 6: Final answer
    x = 41,172.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.