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Finding the Fourth Proportional to 43,407.30, 65,114.55 and 13,824.30

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Solution

The fourth proportional to 43,407.30, 65,114.55 and 13,824.30 is: 20,737.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,407.30 : 65,114.55 = 13,824.30 : x
  2. Step 2: Convert to fraction form
    43,407.30/65,114.55 = 13,824.30/x
  3. Step 3: Cross multiply
    43,407.30x = 65,114.55 × 13,824.30
  4. Step 4: Simplify right side
    43,407.30x = 900,163,073.57
  5. Step 5: Solve for x
    x = 900,163,073.57/43,407.30
  6. Step 6: Final answer
    x = 20,737.60

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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.