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Finding the Fourth Proportional to 30,535.54, 45,809.84 and 9,475.12

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Solution

The fourth proportional to 30,535.54, 45,809.84 and 9,475.12 is: 14,214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,535.54 : 45,809.84 = 9,475.12 : x
  2. Step 2: Convert to fraction form
    30,535.54/45,809.84 = 9,475.12/x
  3. Step 3: Cross multiply
    30,535.54x = 45,809.84 × 9,475.12
  4. Step 4: Simplify right side
    30,535.54x = 434,053,731.18
  5. Step 5: Solve for x
    x = 434,053,731.18/30,535.54
  6. Step 6: Final answer
    x = 14,214.71

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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.