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Finding the Fourth Proportional to 25,000.30, 37,500.45 and 10,204.30

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Solution

The fourth proportional to 25,000.30, 37,500.45 and 10,204.30 is: 15,306.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,000.30 : 37,500.45 = 10,204.30 : x
  2. Step 2: Convert to fraction form
    25,000.30/37,500.45 = 10,204.30/x
  3. Step 3: Cross multiply
    25,000.30x = 37,500.45 × 10,204.30
  4. Step 4: Simplify right side
    25,000.30x = 382,665,841.94
  5. Step 5: Solve for x
    x = 382,665,841.94/25,000.30
  6. Step 6: Final answer
    x = 15,306.45

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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.