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Finding the Fourth Proportional to 35,566.40, 53,234.40 and 25,198.40

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Solution

The fourth proportional to 35,566.40, 53,234.40 and 25,198.40 is: 37,715.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,566.40 : 53,234.40 = 25,198.40 : x
  2. Step 2: Convert to fraction form
    35,566.40/53,234.40 = 25,198.40/x
  3. Step 3: Cross multiply
    35,566.40x = 53,234.40 × 25,198.40
  4. Step 4: Simplify right side
    35,566.40x = 1,341,421,704.96
  5. Step 5: Solve for x
    x = 1,341,421,704.96/35,566.40
  6. Step 6: Final answer
    x = 37,715.98

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Why These Related Problems?

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