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Finding the Fourth Proportional to 37,677.30, 51,975.04 and 22,354.92

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Solution

The fourth proportional to 37,677.30, 51,975.04 and 22,354.92 is: 30,838.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,677.30 : 51,975.04 = 22,354.92 : x
  2. Step 2: Convert to fraction form
    37,677.30/51,975.04 = 22,354.92/x
  3. Step 3: Cross multiply
    37,677.30x = 51,975.04 × 22,354.92
  4. Step 4: Simplify right side
    37,677.30x = 1,161,897,861.20
  5. Step 5: Solve for x
    x = 1,161,897,861.20/37,677.30
  6. Step 6: Final answer
    x = 30,838.14

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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.