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Finding the Fourth Proportional to 30,542.34, 45,823.05 and 9,195.90

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Solution

The fourth proportional to 30,542.34, 45,823.05 and 9,195.90 is: 13,796.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,542.34 : 45,823.05 = 9,195.90 : x
  2. Step 2: Convert to fraction form
    30,542.34/45,823.05 = 9,195.90/x
  3. Step 3: Cross multiply
    30,542.34x = 45,823.05 × 9,195.90
  4. Step 4: Simplify right side
    30,542.34x = 421,384,185.50
  5. Step 5: Solve for x
    x = 421,384,185.50/30,542.34
  6. Step 6: Final answer
    x = 13,796.72

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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.