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Finding the Fourth Proportional to 30,374.40, 45,550.80 and 13,742.40

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Solution

The fourth proportional to 30,374.40, 45,550.80 and 13,742.40 is: 20,608.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,374.40 : 45,550.80 = 13,742.40 : x
  2. Step 2: Convert to fraction form
    30,374.40/45,550.80 = 13,742.40/x
  3. Step 3: Cross multiply
    30,374.40x = 45,550.80 × 13,742.40
  4. Step 4: Simplify right side
    30,374.40x = 625,977,313.92
  5. Step 5: Solve for x
    x = 625,977,313.92/30,374.40
  6. Step 6: Final answer
    x = 20,608.71

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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.