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Finding the Fourth Proportional to 34,770.04, 52,154.52 and 13,993

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Solution

The fourth proportional to 34,770.04, 52,154.52 and 13,993 is: 20,989.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,770.04 : 52,154.52 = 13,993 : x
  2. Step 2: Convert to fraction form
    34,770.04/52,154.52 = 13,993/x
  3. Step 3: Cross multiply
    34,770.04x = 52,154.52 × 13,993
  4. Step 4: Simplify right side
    34,770.04x = 729,798,198.36
  5. Step 5: Solve for x
    x = 729,798,198.36/34,770.04
  6. Step 6: Final answer
    x = 20,989.28

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1.5x scale

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.