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Finding the Fourth Proportional to 30,205.80, 45,308.48 and 9,145.80

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Solution

The fourth proportional to 30,205.80, 45,308.48 and 9,145.80 is: 13,718.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.80 : 45,308.48 = 9,145.80 : x
  2. Step 2: Convert to fraction form
    30,205.80/45,308.48 = 9,145.80/x
  3. Step 3: Cross multiply
    30,205.80x = 45,308.48 × 9,145.80
  4. Step 4: Simplify right side
    30,205.80x = 414,382,250.66
  5. Step 5: Solve for x
    x = 414,382,250.66/30,205.80
  6. Step 6: Final answer
    x = 13,718.63

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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.