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Finding the Fourth Proportional to 29,406.36, 44,109.16 and 7,219.82

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Solution

The fourth proportional to 29,406.36, 44,109.16 and 7,219.82 is: 10,829.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,406.36 : 44,109.16 = 7,219.82 : x
  2. Step 2: Convert to fraction form
    29,406.36/44,109.16 = 7,219.82/x
  3. Step 3: Cross multiply
    29,406.36x = 44,109.16 × 7,219.82
  4. Step 4: Simplify right side
    29,406.36x = 318,460,195.55
  5. Step 5: Solve for x
    x = 318,460,195.55/29,406.36
  6. Step 6: Final answer
    x = 10,829.64

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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.