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Finding the Fourth Proportional to 30,441.60, 45,662.40 and 10,742.40

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Solution

The fourth proportional to 30,441.60, 45,662.40 and 10,742.40 is: 16,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,441.60 : 45,662.40 = 10,742.40 : x
  2. Step 2: Convert to fraction form
    30,441.60/45,662.40 = 10,742.40/x
  3. Step 3: Cross multiply
    30,441.60x = 45,662.40 × 10,742.40
  4. Step 4: Simplify right side
    30,441.60x = 490,523,765.76
  5. Step 5: Solve for x
    x = 490,523,765.76/30,441.60
  6. Step 6: Final answer
    x = 16,113.60

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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.