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Finding the Fourth Proportional to 30,543.21, 45,824.38 and 9,196.77

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Solution

The fourth proportional to 30,543.21, 45,824.38 and 9,196.77 is: 13,798.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,543.21 : 45,824.38 = 9,196.77 : x
  2. Step 2: Convert to fraction form
    30,543.21/45,824.38 = 9,196.77/x
  3. Step 3: Cross multiply
    30,543.21x = 45,824.38 × 9,196.77
  4. Step 4: Simplify right side
    30,543.21x = 421,436,283.25
  5. Step 5: Solve for x
    x = 421,436,283.25/30,543.21
  6. Step 6: Final answer
    x = 13,798.04

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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.