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Finding the Fourth Proportional to 30,543.75, 45,826.02 and 17,200.62

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Solution

The fourth proportional to 30,543.75, 45,826.02 and 17,200.62 is: 25,806.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,543.75 : 45,826.02 = 17,200.62 : x
  2. Step 2: Convert to fraction form
    30,543.75/45,826.02 = 17,200.62/x
  3. Step 3: Cross multiply
    30,543.75x = 45,826.02 × 17,200.62
  4. Step 4: Simplify right side
    30,543.75x = 788,235,956.13
  5. Step 5: Solve for x
    x = 788,235,956.13/30,543.75
  6. Step 6: Final answer
    x = 25,806.78

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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.