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Finding the Fourth Proportional to 30,561.24, 45,849.04 and 9,500.22

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Solution

The fourth proportional to 30,561.24, 45,849.04 and 9,500.22 is: 14,252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,561.24 : 45,849.04 = 9,500.22 : x
  2. Step 2: Convert to fraction form
    30,561.24/45,849.04 = 9,500.22/x
  3. Step 3: Cross multiply
    30,561.24x = 45,849.04 × 9,500.22
  4. Step 4: Simplify right side
    30,561.24x = 435,575,966.79
  5. Step 5: Solve for x
    x = 435,575,966.79/30,561.24
  6. Step 6: Final answer
    x = 14,252.56

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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.