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Finding the Fourth Proportional to 30,543.24, 45,822.03 and 9,482.21

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Solution

The fourth proportional to 30,543.24, 45,822.03 and 9,482.21 is: 14,225.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,543.24 : 45,822.03 = 9,482.21 : x
  2. Step 2: Convert to fraction form
    30,543.24/45,822.03 = 9,482.21/x
  3. Step 3: Cross multiply
    30,543.24x = 45,822.03 × 9,482.21
  4. Step 4: Simplify right side
    30,543.24x = 434,493,881.98
  5. Step 5: Solve for x
    x = 434,493,881.98/30,543.24
  6. Step 6: Final answer
    x = 14,225.53

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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.