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Finding the Fourth Proportional to 30,544.68, 45,824.20 and 9,483.64

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Solution

The fourth proportional to 30,544.68, 45,824.20 and 9,483.64 is: 14,227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,544.68 : 45,824.20 = 9,483.64 : x
  2. Step 2: Convert to fraction form
    30,544.68/45,824.20 = 9,483.64/x
  3. Step 3: Cross multiply
    30,544.68x = 45,824.20 × 9,483.64
  4. Step 4: Simplify right side
    30,544.68x = 434,580,216.09
  5. Step 5: Solve for x
    x = 434,580,216.09/30,544.68
  6. Step 6: Final answer
    x = 14,227.69

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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.