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Finding the Fourth Proportional to 25,635.80, 38,421.30 and 22,849.40

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Solution

The fourth proportional to 25,635.80, 38,421.30 and 22,849.40 is: 34,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,635.80 : 38,421.30 = 22,849.40 : x
  2. Step 2: Convert to fraction form
    25,635.80/38,421.30 = 22,849.40/x
  3. Step 3: Cross multiply
    25,635.80x = 38,421.30 × 22,849.40
  4. Step 4: Simplify right side
    25,635.80x = 877,903,652.22
  5. Step 5: Solve for x
    x = 877,903,652.22/25,635.80
  6. Step 6: Final answer
    x = 34,245.22

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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.